During an expansion of an ideal gas the pressure varies with volume according to the…

PHYSICS · Multi-part · CBSE · Physics · Work, Energy and Power · Work, Energy and Power

Problem

During an expansion of an ideal gas the pressure varies with volume according to the linear relation

P=a+bV

, where

a

and

b

are constants. (i) Derive an expression for the work done when the volume changes from

V_{1}

V_{2}

under this relation. (ii) For a particular gas sample,

a=1.0\times10^{5}\,\text{Pa}

and

b=-2.0\times10^{6}\,\text{Pa}\,\text{m}^{-3}

. Calculate the work done as the volume increases from

0.015\,\text{m}^{3}

0.030\,\text{m}^{3}

. (iii) If 350 J of heat is supplied to the gas during the same process, determine the change in internal energy of the gas.