What is the entropy change when 1 mole of an ideal gas is heated at constant volume?
Practice Questions
1 question
Q1
What is the entropy change when 1 mole of an ideal gas is heated at constant volume?
0
R ln(T2/T1)
R (T2 - T1)
R (T1/T2)
The change in entropy when heating an ideal gas at constant volume is given by ΔS = nC_v ln(T2/T1). For 1 mole, it simplifies to ΔS = R ln(T2/T1).
Questions & Step-by-step Solutions
1 item
Q
Q: What is the entropy change when 1 mole of an ideal gas is heated at constant volume?
Solution: The change in entropy when heating an ideal gas at constant volume is given by ΔS = nC_v ln(T2/T1). For 1 mole, it simplifies to ΔS = R ln(T2/T1).
Steps: 7
Step 1: Understand that entropy (S) is a measure of disorder or randomness in a system.
Step 2: Recognize that we are dealing with 1 mole of an ideal gas.
Step 3: Note that the process is happening at constant volume, meaning the volume of the gas does not change.
Step 4: Identify the formula for the change in entropy (ΔS) when heating an ideal gas at constant volume: ΔS = nC_v ln(T2/T1).
Step 5: Realize that for 1 mole of gas (n = 1), the formula simplifies to ΔS = R ln(T2/T1), where R is the ideal gas constant.
Step 6: Understand that T2 is the final temperature and T1 is the initial temperature in Kelvin.
Step 7: Calculate the change in entropy by plugging in the values of T2 and T1 into the simplified formula.
