Question

2 mole of an ideal gas at 2 atm and 300 K is compressed isothermally to one half of its volume by an external pressure of 4 atmosphere. The work done (in $kJ$) in the process is $x$ , then $100x$ is__________.

Answer 1

An isothermal process is a change of a system, in which the temperature remains constant: ΔT = 0.

$T=300K{P}_1=2atm{P}_2=4atmn=2moleR=8.314$

Work done by isothermal process is $W=nRT\ln \frac{P_2}{P_1}$

$W=2\times 8.314\times 300\times ln\frac{4}{2}$

$W=3457.7J$

$=3.45⟹100x=345$