Question

In a cylinder, $2.0moles$ of an ideal monatomic gas initially at $1.0\times {10}^{6}Pa$ and $300K$ expands until its volume doubles. The work done if the expansion is isobaric is

• A. $4980J$
• B. $2800J$
• C. $2300J$
• D. $4630J$

Answer 1

The correct option is A $4980J$

Work done in isobaric process=$\Delta W=P\Delta V=nR\Delta T$
Here, n=no. of moles=2
At constant pressure, volume doubles$\Rightarrow$ temperature doubles $\Rightarrow \Delta T=T_o=300K$
Thus,$\Delta W=2\times 8.3\times 300J=4980J$