What is the entropy change for the isothermal expansion of an ideal gas from volume V1 to V2 at temperature T?
Practice Questions
1 question
Q1
What is the entropy change for the isothermal expansion of an ideal gas from volume V1 to V2 at temperature T?
R ln(V2/V1)
R (V2 - V1)/T
0
R (V1/V2)
The entropy change for an isothermal expansion is given by ΔS = nR ln(V2/V1). For 1 mole, ΔS = R ln(V2/V1).
Questions & Step-by-step Solutions
1 item
Q
Q: What is the entropy change for the isothermal expansion of an ideal gas from volume V1 to V2 at temperature T?
Solution: The entropy change for an isothermal expansion is given by ΔS = nR ln(V2/V1). For 1 mole, ΔS = R ln(V2/V1).
Steps: 6
Step 1: Understand that we are looking for the change in entropy (ΔS) when an ideal gas expands isothermally (at constant temperature).
Step 2: Identify the initial volume (V1) and the final volume (V2) of the gas.
Step 3: Recognize that the formula for the change in entropy for an isothermal process is ΔS = nR ln(V2/V1), where n is the number of moles and R is the ideal gas constant.
Step 4: If we are considering 1 mole of gas, we can simplify the formula to ΔS = R ln(V2/V1).
Step 5: Calculate the natural logarithm of the ratio of the volumes (V2/V1).
Step 6: Multiply the result by the ideal gas constant R to find the change in entropy (ΔS).
