Energy balance -- Physical interpretation of Q

In summary, when dealing with an isothermal reactor with an exothermic reaction happening at 450 °C, the simplified energy balance for the reactor is Q = ΔH. If ΔH = -150 kcal, then Q = -150 kcal. To maintain the temperature at 450 °C, a heat sink or cooling jacket is needed to absorb the heat released by the reaction. This will prevent the temperature of the reactor from rising and maintain equilibrium.
  • #1
MexChemE
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Hello PF! I have a simple question on energy balances. Suppose you have an isothermal reactor where you want to have an exothermic reaction happening at 450 °C. The simplified energy balance for the reactor is Q = ΔH. Supposing ΔH = -150 kcal, then Q = -150 kcal. Does this mean that, a) in order for the system to stay at 450 °C, we just have to "let" the reactor release the 150 kcal of heat, or b) in order for the system to stay at 450 °C, we have to add 150 kcal of heat while the reaction releases the same amount of heat?

Thanks in advance for any input!
 
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  • #2
MexChemE said:
exothermic reaction
That should tell you all you need to know.
 
  • #3
You don't "let" the reactor release that amount of heat. You need to contact the reactor with a reservoir at 450 C in order for the final temperature to equilibrate at 450 C. If you run the reactor adiabatically, the temperature will rise.

Chet
 
  • #4
Chestermiller said:
You don't "let" the reactor release that amount of heat. You need to contact the reactor with a reservoir at 450 C in order for the final temperature to equilibrate at 450 C. If you run the reactor adiabatically, the temperature will rise.

Chet

But wouldn't the temperature of the reservoir increase because of the heat released by the reaction, therefore displacing the equilibrium temperature? Or, are we talking about the same kind of reservoir we talk about when discussing heat engines, i.e. a heat sink? Meaning its temperature will not rise significantly, no matter how much heat it absorbs. Is that how cooling jackets in reactors/tanks behave?
 
  • #5
MexChemE said:
But wouldn't the temperature of the reservoir increase because of the heat released by the reaction, therefore displacing the equilibrium temperature? Or, are we talking about the same kind of reservoir we talk about when discussing heat engines, i.e. a heat sink? Meaning its temperature will not rise significantly, no matter how much heat it absorbs. Is that how cooling jackets in reactors/tanks behave?
The latter. A heat sink.

Chet
 
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What is energy balance?

Energy balance refers to the relationship between the amount of energy entering a system and the amount of energy leaving the system. In simpler terms, it is the balance between the energy we consume and the energy we expend.

How is energy balance related to weight?

Energy balance is directly related to weight because it determines whether we gain, lose, or maintain our weight. If we consume more energy than we expend, we will gain weight. If we expend more energy than we consume, we will lose weight. And if the energy we consume is equal to the energy we expend, our weight will remain stable.

What is the physical interpretation of Q in energy balance?

In energy balance, Q represents the energy entering or leaving the system. It can also be referred to as heat transfer, as it takes into account the energy from food intake, as well as energy expenditure through physical activity and metabolism.

What factors affect energy balance?

Several factors can affect energy balance, including diet, physical activity, metabolism, genetics, and environmental factors. For example, a sedentary lifestyle and a high-calorie diet can lead to a positive energy balance, while regular exercise and a balanced diet can help maintain a negative energy balance.

Why is energy balance important?

Energy balance is important because it plays a crucial role in maintaining a healthy weight and preventing chronic diseases. It also helps regulate our body's temperature, supports bodily functions, and provides energy for daily activities.

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