Rankers Physics
Topic: Thermal Physics
Subtopic: Thermodynamics

The following sets of values for Cv and Cp of a gas have been reported by different students. The units are cal/mole-K. Which of these sets is most reliable ?
Cv = 3, Cp = 5
Cv = 3, Cp = 6
Cv = 3, Cp = 2
Cv = 3, Cp = 4.2

Solution:

For an ideal gas, the relationship between \( C_p \) and \( C_v \) is:

\[
C_p - C_v = R
\]

where \( R \approx 2 \, \text{cal/mole-K} \).

Check each option:

1. If \( C_v = 3 \) and \( C_p = 5 \):
\[
C_p - C_v = 5 - 3 = 2 = R
\]
This matches the expected result.

2. Other sets will not satisfy \( C_p - C_v = 2 \) as accurately.

Thus, \( C_v = 3 \) and \( C_p = 5 \) is the most reliable set.

Leave a Reply

Your email address will not be published. Required fields are marked *