The equation of state for a gas is given by $PV = nRT + \alpha V$, where $n$ is the number of moles and $\alpha $ is a positive constant. The initial temperature and pressure of one mole of the gas contained in a cylinder are $T_o$ and $P_o$ respectively. The work done by the gas when its temperature doubles isobarically will be
The equation of state for a gas is given by $PV = nRT + \alpha V$, where $n$ is the number of moles and $\alpha $ is a positive constant. The initial temperature and pressure of one mole of the gas contained in a cylinder are $T_o$ and $P_o$ respectively. The work done by the gas when its temperature doubles isobarically will be
- [JEE MAIN 2014]
- A
$\frac{{{P_0}{T_0}R}}{{{P_0} - \alpha }}$
- B
$\frac{{{P_0}{T_0}R}}{{{P_0} + \alpha }}$
- C
${P_0}{T_0}R\,\ln \,2$
- D
${{P_0}{T_0}R}$
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