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Question: Answered & Verified by Expert
If the volume of the given mass of a gas is increased four times, the temperature is raised from $27^{\circ} \mathrm{C}$ to $127^{\circ} \mathrm{C}$. The elasticity will become
PhysicsMechanical Properties of SolidsJEE Main
Options:
  • A 4 times
  • B $1 / 4$ times
  • C 3 times
  • D $1 / 3$ times
Solution:
1211 Upvotes Verified Answer
The correct answer is: $1 / 3$ times
From the ideal gas equation
$\frac{E_2}{E_1}=\frac{P_2}{P_1}=\frac{V_1}{V_2} \times \frac{T_2}{T_1}=\left(\frac{1}{4}\right) \times\left(\frac{400}{300}\right)=\frac{1}{3}=E_2=\frac{E_1}{3}$
i.e. elasticity will become $\frac{1}{3}$ times.

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