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What is the entropy change for an ideal gas during an isothermal expansion?
What is the entropy change for an ideal gas during an isothermal expansion?
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What is the entropy change for an ideal gas during an isothermal expansion?
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nR ln(Vf/Vi)
nC_v ln(Tf/Ti)
nC_p ln(Tf/Ti)
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The entropy change for an ideal gas during an isothermal expansion is ΔS = nR ln(Vf/Vi).
Questions & Step-by-step Solutions
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Q: What is the entropy change for an ideal gas during an isothermal expansion?
Solution:
The entropy change for an ideal gas during an isothermal expansion is ΔS = nR ln(Vf/Vi).
Steps: 6
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Step 1: Understand what isothermal means. Isothermal means that the temperature of the gas remains constant during the process.
Step 2: Know that entropy (S) is a measure of disorder or randomness in a system.
Step 3: Identify the variables: n is the number of moles of gas, R is the ideal gas constant, Vf is the final volume, and Vi is the initial volume.
Step 4: Recall the formula for entropy change (ΔS) during an isothermal process for an ideal gas: ΔS = nR ln(Vf/Vi).
Step 5: Recognize that ln is the natural logarithm, which is a mathematical function.
Step 6: To find the entropy change, plug in the values for n, R, Vf, and Vi into the formula.
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