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Admitindo-se que uma corrente orgânica (30% em massa do soluto e 70% do diluente original), com vazão mássica total F kg/s é misturada com um solvente (puro) à vazão de 0,5 F kg/s, o ponto M tem composição percentual em massa de soluto, diluente original e solvente dadas, aproximadamente, por
da = –sdT – Pdv
Utilizando-se as relações de Maxwell e a equação de estado do gás ideal (PV = RT), a relação (∂s/∂v)T para um gás ideal é
Em uma etapa posterior, o reagente em excesso que não participou da reação é recuperado, sendo completamente separado do produto formado. A vazão de reagente recuperado, em kg h-1, é igual a
Dado Massas molares: C2H4 : 28 g mol-1, H2 : 2g mol-1
A pressão parcial de CH4 nessa mistura é igual a
A massa de H2S presente no reservatório corresponde a
Dado Massa molar do H2S: 34 g mol-1
A massa da amostra, em gramas, de N2 líquido que evaporou é igual a
Dado Massa molar do N2 : 28 g mol-1
Assumindo-se o comportamento de gás ideal para o H2, o trabalho de expansão realizado por esse gás, em kJ, é igual a
Dado Constante dos gases: 8,31 J mol-1 K-1 ln 2 = 0,69 Massa molar H2 : 2 g mol-1
Nessas condições, o valor da pressão de vapor do tolueno, em pascal, é
Até que temperatura deve ser resfriada, no cristalizador, a solução saturada?
Em consequência da adição da ação derivativa, o offset
A curva característica da bomba e a curva do sistema são representadas pelas equações H = - Q2 + 2Q + 8 e WB = Q2 + 2Q, respectivamente, onde H é a carga, em metros, fornecida ao líquido pela bomba, WB é a carga, em metros, requerida pelo sistema, e Q é a vazão de operação, em m3 /s.
A vazão de operação, em m3 /s, é
By Rachel Ehrenberg Science News, Web edition: Monday, February 21st, 2011
WASHINGTON — Getting blood or other perishable supplies to an area that’s been struck by an earthquake or hurricane isn’t as simple as asking what brown can do for you. But a new model quickly determines the best routes and means for delivering humanitarian aid, even in situations where bridges are out or airport tarmacs are clogged with planes.
The research, presented February 18 at the annual meeting of the American Association for the Advancement of Science, could help get supplies to areas which have experienced natural disasters or help prepare for efficient distribution of vaccines when the flu hits.
Efficient supply chains have long been a goal of manufacturers, but transport in fragile networks — where supply, demand and delivery routes may be in extremely rapid flux — requires a different approach, said Anna Nagurney of the University of Massachusetts Amherst, who presented the new work. Rather than considering the shortest path from one place to another to maximize profit, her system aims for the cleanest path at minimum cost, while capturing factors such as the perishability of the product and the uncertainty of supply routes. ‘You don’t know where demand is, so it’s tricky,’ said Nagurney. ‘It’s a multicriteria decision-making problem.’
By calculating the total cost associated with each link in a network, accounting for congestion and incorporating penalties for time and products that are lost, the computer model calculates the best supply chain in situations where standard routes may be disrupted.
‘Mathematical tools are essential to develop formal means to predict, and to respond to, such critical perturbations,’ said Iain Couzin of Princeton University, who uses similar computational tools to study collective animal behavior. ‘This is particularly important where response must be rapid and effective, such as during disaster scenarios … or during epidemics or breaches of national security.
’ The work can be applied to immediate, pressing situations, such as getting blood, food or medication to a disaster site, or to longer-term problems such as determining the best locations for manufacturing flu vaccines. . Retrieved April 7th, 2011.
By Rachel Ehrenberg Science News, Web edition: Monday, February 21st, 2011
WASHINGTON — Getting blood or other perishable supplies to an area that’s been struck by an earthquake or hurricane isn’t as simple as asking what brown can do for you. But a new model quickly determines the best routes and means for delivering humanitarian aid, even in situations where bridges are out or airport tarmacs are clogged with planes.
The research, presented February 18 at the annual meeting of the American Association for the Advancement of Science, could help get supplies to areas which have experienced natural disasters or help prepare for efficient distribution of vaccines when the flu hits.
Efficient supply chains have long been a goal of manufacturers, but transport in fragile networks — where supply, demand and delivery routes may be in extremely rapid flux — requires a different approach, said Anna Nagurney of the University of Massachusetts Amherst, who presented the new work. Rather than considering the shortest path from one place to another to maximize profit, her system aims for the cleanest path at minimum cost, while capturing factors such as the perishability of the product and the uncertainty of supply routes. ‘You don’t know where demand is, so it’s tricky,’ said Nagurney. ‘It’s a multicriteria decision-making problem.’
By calculating the total cost associated with each link in a network, accounting for congestion and incorporating penalties for time and products that are lost, the computer model calculates the best supply chain in situations where standard routes may be disrupted.
‘Mathematical tools are essential to develop formal means to predict, and to respond to, such critical perturbations,’ said Iain Couzin of Princeton University, who uses similar computational tools to study collective animal behavior. ‘This is particularly important where response must be rapid and effective, such as during disaster scenarios … or during epidemics or breaches of national security.
’ The work can be applied to immediate, pressing situations, such as getting blood, food or medication to a disaster site, or to longer-term problems such as determining the best locations for manufacturing flu vaccines. . Retrieved April 7th, 2011.
By Rachel Ehrenberg Science News, Web edition: Monday, February 21st, 2011
WASHINGTON — Getting blood or other perishable supplies to an area that’s been struck by an earthquake or hurricane isn’t as simple as asking what brown can do for you. But a new model quickly determines the best routes and means for delivering humanitarian aid, even in situations where bridges are out or airport tarmacs are clogged with planes.
The research, presented February 18 at the annual meeting of the American Association for the Advancement of Science, could help get supplies to areas which have experienced natural disasters or help prepare for efficient distribution of vaccines when the flu hits.
Efficient supply chains have long been a goal of manufacturers, but transport in fragile networks — where supply, demand and delivery routes may be in extremely rapid flux — requires a different approach, said Anna Nagurney of the University of Massachusetts Amherst, who presented the new work. Rather than considering the shortest path from one place to another to maximize profit, her system aims for the cleanest path at minimum cost, while capturing factors such as the perishability of the product and the uncertainty of supply routes. ‘You don’t know where demand is, so it’s tricky,’ said Nagurney. ‘It’s a multicriteria decision-making problem.’
By calculating the total cost associated with each link in a network, accounting for congestion and incorporating penalties for time and products that are lost, the computer model calculates the best supply chain in situations where standard routes may be disrupted.
‘Mathematical tools are essential to develop formal means to predict, and to respond to, such critical perturbations,’ said Iain Couzin of Princeton University, who uses similar computational tools to study collective animal behavior. ‘This is particularly important where response must be rapid and effective, such as during disaster scenarios … or during epidemics or breaches of national security.
’ The work can be applied to immediate, pressing situations, such as getting blood, food or medication to a disaster site, or to longer-term problems such as determining the best locations for manufacturing flu vaccines. . Retrieved April 7th, 2011.
By Rachel Ehrenberg Science News, Web edition: Monday, February 21st, 2011
WASHINGTON — Getting blood or other perishable supplies to an area that’s been struck by an earthquake or hurricane isn’t as simple as asking what brown can do for you. But a new model quickly determines the best routes and means for delivering humanitarian aid, even in situations where bridges are out or airport tarmacs are clogged with planes.
The research, presented February 18 at the annual meeting of the American Association for the Advancement of Science, could help get supplies to areas which have experienced natural disasters or help prepare for efficient distribution of vaccines when the flu hits.
Efficient supply chains have long been a goal of manufacturers, but transport in fragile networks — where supply, demand and delivery routes may be in extremely rapid flux — requires a different approach, said Anna Nagurney of the University of Massachusetts Amherst, who presented the new work. Rather than considering the shortest path from one place to another to maximize profit, her system aims for the cleanest path at minimum cost, while capturing factors such as the perishability of the product and the uncertainty of supply routes. ‘You don’t know where demand is, so it’s tricky,’ said Nagurney. ‘It’s a multicriteria decision-making problem.’
By calculating the total cost associated with each link in a network, accounting for congestion and incorporating penalties for time and products that are lost, the computer model calculates the best supply chain in situations where standard routes may be disrupted.
‘Mathematical tools are essential to develop formal means to predict, and to respond to, such critical perturbations,’ said Iain Couzin of Princeton University, who uses similar computational tools to study collective animal behavior. ‘This is particularly important where response must be rapid and effective, such as during disaster scenarios … or during epidemics or breaches of national security.
’ The work can be applied to immediate, pressing situations, such as getting blood, food or medication to a disaster site, or to longer-term problems such as determining the best locations for manufacturing flu vaccines. . Retrieved April 7th, 2011.
By Rachel Ehrenberg Science News, Web edition: Monday, February 21st, 2011
WASHINGTON — Getting blood or other perishable supplies to an area that’s been struck by an earthquake or hurricane isn’t as simple as asking what brown can do for you. But a new model quickly determines the best routes and means for delivering humanitarian aid, even in situations where bridges are out or airport tarmacs are clogged with planes.
The research, presented February 18 at the annual meeting of the American Association for the Advancement of Science, could help get supplies to areas which have experienced natural disasters or help prepare for efficient distribution of vaccines when the flu hits.
Efficient supply chains have long been a goal of manufacturers, but transport in fragile networks — where supply, demand and delivery routes may be in extremely rapid flux — requires a different approach, said Anna Nagurney of the University of Massachusetts Amherst, who presented the new work. Rather than considering the shortest path from one place to another to maximize profit, her system aims for the cleanest path at minimum cost, while capturing factors such as the perishability of the product and the uncertainty of supply routes. ‘You don’t know where demand is, so it’s tricky,’ said Nagurney. ‘It’s a multicriteria decision-making problem.’
By calculating the total cost associated with each link in a network, accounting for congestion and incorporating penalties for time and products that are lost, the computer model calculates the best supply chain in situations where standard routes may be disrupted.
‘Mathematical tools are essential to develop formal means to predict, and to respond to, such critical perturbations,’ said Iain Couzin of Princeton University, who uses similar computational tools to study collective animal behavior. ‘This is particularly important where response must be rapid and effective, such as during disaster scenarios … or during epidemics or breaches of national security.
’ The work can be applied to immediate, pressing situations, such as getting blood, food or medication to a disaster site, or to longer-term problems such as determining the best locations for manufacturing flu vaccines. . Retrieved April 7th, 2011.
By Rachel Ehrenberg Science News, Web edition: Monday, February 21st, 2011
WASHINGTON — Getting blood or other perishable supplies to an area that’s been struck by an earthquake or hurricane isn’t as simple as asking what brown can do for you. But a new model quickly determines the best routes and means for delivering humanitarian aid, even in situations where bridges are out or airport tarmacs are clogged with planes.
The research, presented February 18 at the annual meeting of the American Association for the Advancement of Science, could help get supplies to areas which have experienced natural disasters or help prepare for efficient distribution of vaccines when the flu hits.
Efficient supply chains have long been a goal of manufacturers, but transport in fragile networks — where supply, demand and delivery routes may be in extremely rapid flux — requires a different approach, said Anna Nagurney of the University of Massachusetts Amherst, who presented the new work. Rather than considering the shortest path from one place to another to maximize profit, her system aims for the cleanest path at minimum cost, while capturing factors such as the perishability of the product and the uncertainty of supply routes. ‘You don’t know where demand is, so it’s tricky,’ said Nagurney. ‘It’s a multicriteria decision-making problem.’
By calculating the total cost associated with each link in a network, accounting for congestion and incorporating penalties for time and products that are lost, the computer model calculates the best supply chain in situations where standard routes may be disrupted.
‘Mathematical tools are essential to develop formal means to predict, and to respond to, such critical perturbations,’ said Iain Couzin of Princeton University, who uses similar computational tools to study collective animal behavior. ‘This is particularly important where response must be rapid and effective, such as during disaster scenarios … or during epidemics or breaches of national security.
’ The work can be applied to immediate, pressing situations, such as getting blood, food or medication to a disaster site, or to longer-term problems such as determining the best locations for manufacturing flu vaccines. . Retrieved April 7th, 2011.
By Rachel Ehrenberg Science News, Web edition: Monday, February 21st, 2011
WASHINGTON — Getting blood or other perishable supplies to an area that’s been struck by an earthquake or hurricane isn’t as simple as asking what brown can do for you. But a new model quickly determines the best routes and means for delivering humanitarian aid, even in situations where bridges are out or airport tarmacs are clogged with planes.
The research, presented February 18 at the annual meeting of the American Association for the Advancement of Science, could help get supplies to areas which have experienced natural disasters or help prepare for efficient distribution of vaccines when the flu hits.
Efficient supply chains have long been a goal of manufacturers, but transport in fragile networks — where supply, demand and delivery routes may be in extremely rapid flux — requires a different approach, said Anna Nagurney of the University of Massachusetts Amherst, who presented the new work. Rather than considering the shortest path from one place to another to maximize profit, her system aims for the cleanest path at minimum cost, while capturing factors such as the perishability of the product and the uncertainty of supply routes. ‘You don’t know where demand is, so it’s tricky,’ said Nagurney. ‘It’s a multicriteria decision-making problem.’
By calculating the total cost associated with each link in a network, accounting for congestion and incorporating penalties for time and products that are lost, the computer model calculates the best supply chain in situations where standard routes may be disrupted.
‘Mathematical tools are essential to develop formal means to predict, and to respond to, such critical perturbations,’ said Iain Couzin of Princeton University, who uses similar computational tools to study collective animal behavior. ‘This is particularly important where response must be rapid and effective, such as during disaster scenarios … or during epidemics or breaches of national security.
’ The work can be applied to immediate, pressing situations, such as getting blood, food or medication to a disaster site, or to longer-term problems such as determining the best locations for manufacturing flu vaccines. . Retrieved April 7th, 2011.
By Rachel Ehrenberg Science News, Web edition: Monday, February 21st, 2011
WASHINGTON — Getting blood or other perishable supplies to an area that’s been struck by an earthquake or hurricane isn’t as simple as asking what brown can do for you. But a new model quickly determines the best routes and means for delivering humanitarian aid, even in situations where bridges are out or airport tarmacs are clogged with planes.
The research, presented February 18 at the annual meeting of the American Association for the Advancement of Science, could help get supplies to areas which have experienced natural disasters or help prepare for efficient distribution of vaccines when the flu hits.
Efficient supply chains have long been a goal of manufacturers, but transport in fragile networks — where supply, demand and delivery routes may be in extremely rapid flux — requires a different approach, said Anna Nagurney of the University of Massachusetts Amherst, who presented the new work. Rather than considering the shortest path from one place to another to maximize profit, her system aims for the cleanest path at minimum cost, while capturing factors such as the perishability of the product and the uncertainty of supply routes. ‘You don’t know where demand is, so it’s tricky,’ said Nagurney. ‘It’s a multicriteria decision-making problem.’
By calculating the total cost associated with each link in a network, accounting for congestion and incorporating penalties for time and products that are lost, the computer model calculates the best supply chain in situations where standard routes may be disrupted.
‘Mathematical tools are essential to develop formal means to predict, and to respond to, such critical perturbations,’ said Iain Couzin of Princeton University, who uses similar computational tools to study collective animal behavior. ‘This is particularly important where response must be rapid and effective, such as during disaster scenarios … or during epidemics or breaches of national security.
’ The work can be applied to immediate, pressing situations, such as getting blood, food or medication to a disaster site, or to longer-term problems such as determining the best locations for manufacturing flu vaccines. . Retrieved April 7th, 2011.
By Rachel Ehrenberg Science News, Web edition: Monday, February 21st, 2011
WASHINGTON — Getting blood or other perishable supplies to an area that’s been struck by an earthquake or hurricane isn’t as simple as asking what brown can do for you. But a new model quickly determines the best routes and means for delivering humanitarian aid, even in situations where bridges are out or airport tarmacs are clogged with planes.
The research, presented February 18 at the annual meeting of the American Association for the Advancement of Science, could help get supplies to areas which have experienced natural disasters or help prepare for efficient distribution of vaccines when the flu hits.
Efficient supply chains have long been a goal of manufacturers, but transport in fragile networks — where supply, demand and delivery routes may be in extremely rapid flux — requires a different approach, said Anna Nagurney of the University of Massachusetts Amherst, who presented the new work. Rather than considering the shortest path from one place to another to maximize profit, her system aims for the cleanest path at minimum cost, while capturing factors such as the perishability of the product and the uncertainty of supply routes. ‘You don’t know where demand is, so it’s tricky,’ said Nagurney. ‘It’s a multicriteria decision-making problem.’
By calculating the total cost associated with each link in a network, accounting for congestion and incorporating penalties for time and products that are lost, the computer model calculates the best supply chain in situations where standard routes may be disrupted.
‘Mathematical tools are essential to develop formal means to predict, and to respond to, such critical perturbations,’ said Iain Couzin of Princeton University, who uses similar computational tools to study collective animal behavior. ‘This is particularly important where response must be rapid and effective, such as during disaster scenarios … or during epidemics or breaches of national security.
’ The work can be applied to immediate, pressing situations, such as getting blood, food or medication to a disaster site, or to longer-term problems such as determining the best locations for manufacturing flu vaccines. . Retrieved April 7th, 2011.