First slide

First law of thermodynamics

Question

The relation between internal energy U, pressure P and volume V of a gas in an adiabatic process is U = 5 + 3 PV Where a and b are constants. What is the value of the ratio of the specific heats?

Moderate

A

$\frac{5}{3}$
B

$\frac{4}{3}$
C

$\frac{6}{5}$
D

$\frac{7}{5}$

Solution

$U = 5 + 3 P V = 5 + 3 n R T d U = 3 n R d T d U = n C_{v} d T C_{v} = 3 R C_{P} = 4 R$

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