Entropy Change & Heat Transferred to a Gas

In summary, the conversation discusses using the given relationship S=a/T and the equation ∫ (delta Q rev)/T=∫dS to find the value of Q. However, the solution given is Q=a*ln*(T1/T2) instead of the previously calculated value of mc*ln (T2/T1)*a. The speaker asks for feedback on their methodology and understanding and requests help in identifying any errors and correcting them. They also mention that the question does not mention m and c and that there may be a mistake in the original statement.
  • #1
warhammer
148
30
Homework Statement
One mole of a perfect gas undergoes a thermodynamic process so that its temperature changes from T₁ to T₂. Its entropy is related to temperature as S= a/T, where a is constant. Calculate the quantity of heat (deltaQ) transferred to the gas.
Relevant Equations
∫ (delta Q rev)/T=∫dS
By using the given relationship that S=a/T --(1) along with the equation ∫ (delta Q rev)/T=∫dS -- (2) I found out that my answer for the value of Q is mc*ln (T2/T1)*a upon equating (1) & (2).

But the solution is instead given as Q=a*ln*(T1/T2).

I would be grateful if someone would point out any errors in my methodology/understanding and guide towards rectification of the same.
 
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  • #2
Show your working if you want us to see where you went wrong. The question doesn't mention m and c, and you should see at once that your answer is dimensionally wrong.
 
  • #3
Can you please provide the exact word-for-word statement of the problem. There is already a mistake in the statement you have written.
 

1. What is entropy change?

Entropy change is a measure of the amount of disorder or randomness in a system. It is a thermodynamic quantity that describes the distribution of energy within a system.

2. How is entropy change related to heat transfer?

Entropy change is directly related to heat transfer. When heat is transferred to a gas, the molecules in the gas gain energy and become more disordered, leading to an increase in entropy.

3. What is the formula for calculating entropy change?

The formula for calculating entropy change is ΔS = Q/T, where ΔS is the change in entropy, Q is the heat transferred, and T is the temperature in Kelvin.

4. How does the temperature of a gas affect its entropy change?

The temperature of a gas has a direct effect on its entropy change. As the temperature increases, the molecules in the gas move faster and become more disordered, leading to a larger entropy change.

5. Can entropy change be negative?

Yes, entropy change can be negative. This occurs when heat is transferred out of a system and the molecules become more ordered, resulting in a decrease in entropy.

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