First slide

First law of thermodynamics

Question

Two moles of a monoatomic gas undergoes an expansion process AB as shown in figure. Then heat supplied to the gas is

Moderate

A

$\frac{3}{2} P_{0} V_{0}$
B

$\frac{3}{4} P_{0} V_{0}$
C

$2 P_{0} V_{0}$
D

$\frac{5}{2} P_{0} V_{0}$

Solution

$\begin{array}{l} T_{A} = \frac{2 P_{0} V_{0}}{2 R} a n d T_{B} = \frac{P_{0} .2 V_{0}}{2 R}, C_{V} = \frac{3 R}{2}, Δ U = 0 \\ ∴ Q = Δ U + W = 0 + \frac{1}{2} (2 P_{0} + P_{0}) (2 V_{0} - V_{0}) = \frac{3}{2} P_{0} V_{0} \end{array}$

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