One mole of a gas at a pressure $2 \mathrm{~Pa}$ and temperature $27^{\circ} \mathrm{C}$ is heated till both…

One mole of a gas at a pressure $2 \mathrm{~Pa}$ and temperature $27^{\circ} \mathrm{C}$ is heated till both pressure and volume are doubled. What is the temperature of the gas?
  1. $300 \mathrm{~K}$
  2. $600 \mathrm{~K}$
  3. $900 \mathrm{~K}$
  4. $1200 \mathrm{~K}$

Solution

Given, Let volume, $V_1=V$ By using ideal gas equation, $\frac{p_1 V_1}{T_1}=\frac{p_2 V_2}{T_2}$ Substituting the values, we get $\frac{2 V}{300}=\frac{4(2 V)}{T} \Rightarrow T=1200 \mathrm{~K}$

Asked in: AP EAMCET 2021 (23 Aug Shift 2)

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