During an isothermal expansion, a confined ideal gas does $150 \mathrm{~J}$ of work against its surroundings…

During an isothermal expansion, a confined ideal gas does $150 \mathrm{~J}$ of work against its surroundings. This implies that
  1. $300 \mathrm{~J}$ of heat has been added to the gas
  2. no heat is transferred because the process is is othermal
  3. $150 \mathrm{~J}$ of heat has been added to the gas
  4. $150 \mathrm{~J}$ of heat has been removed from the gas

Solution

By first law of thermodynamics - $\begin{aligned} \mathrm{dQ} & =\mathrm{dV}+\mathrm{dW} \\ \mathrm{dV} & =0 \text { for isothermal process } \\ \mathrm{dQ} & =\mathrm{dW} \\ & =+150 \end{aligned}$ $\Rightarrow 150 \mathrm{~J}$ of heat has been added to the system. So, the correct answer is ' $150 \mathrm{~J}$ of heat has been added to the gas'. .

Asked in: NEET 2011 (Screening)

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