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JIPMER 2005

Exam: JIPMER
Year: 2005
Subject: Physics
Chapter: Thermodynamics

JIPMER 2005 · Physics · Thermodynamics

A monoatomic gas supplied the heat Q very slowly keeping the...

A monoatomic gas supplied the heat

Q

very slowly keeping the pressure constant. The work done by the gas will be

Options

A $\frac{2}{3} Q$
B $\frac{3}{5} Q$
C $\frac{2}{5} Q$
D $\frac{1}{5} Q$

Correct answer

A. $\frac{2}{3} Q$

Step-by-step solution

For monoatomic gas at constant pressure

\frac{\Delta U}{Q}=\frac{1}{3}

or

\quad \Delta U=\frac{Q}{3}

Now applying first law of thermodynamics

\begin{aligned} W & =\Delta Q-\Delta U \\ & =Q-\frac{Q}{3}=\frac{2 Q}{3}\end{aligned}

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