What is the change in entropy of the gas?

In summary, the conversation discusses a reversible expansion of an ideal gas in a cylinder with a piston, where the gas is held at a constant temperature and in contact with a heat reservoir. The question is what the change in entropy of the gas is for this isothermal process, which can be solved using the equation \Delta S = nC_Pln\frac{V_2}{V_1}+nC_Vln\frac{P_2}{P_1}. The temperature is not needed for this calculation, and the equation \Delta U = Q + W can also be used.
  • #1
daisyi
32
0
One mole of an ideal gas in a cylinder fitted with a piston is made to expand slowly (reversible) from an initial volume of 1x10^3 cm3 to a final volume of 2x10^3 cm3. The cylinder is in contact with a heat reservoir so that, throughout the expansion process, the gas is held at a constant temperature. What is the change in entropy of the gas?
 
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  • #2
isothermal process

For an isothermal process, [itex]\Delta S = Q/T[/itex].
 
  • #3
This problem can be solved using

[tex]\Delta S = nC_Pln\frac{V_2}{V_1}+nC_Vln\frac{P_2}{P_1}[/tex]

All you need to do now, is to recall the relationship between an ideal gas and the heat capacity. You don't need the temperature to solve this problem.
 
  • #4
Along with Doc's equation, you'll want to use [itex]\Delta U = Q + W[/tex]
 
  • #5
but for isothermal process change in internal energy(delta U) is equal to 0.
 

1. What is entropy?

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

2. How is entropy related to gas?

In the context of gases, entropy refers to the degree of disorder or randomness of the gas molecules. This can be affected by factors such as pressure, temperature, and volume.

3. What causes a change in entropy of a gas?

A change in entropy of a gas can be caused by a change in temperature, pressure, or volume of the gas. It can also be affected by chemical reactions or changes in the number or arrangement of gas molecules.

4. What is the unit of measurement for entropy?

The SI unit for entropy is joules per kelvin (J/K). However, it can also be measured in other units such as calories per kelvin (cal/K) or joules per mole-kelvin (J/mol·K).

5. How is entropy related to the second law of thermodynamics?

The second law of thermodynamics states that the total entropy of a closed system always increases over time. This means that the degree of disorder or randomness within a system will always tend to increase, leading to a higher overall entropy.

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