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AP EAMCET · PHYSICS · Thermodynamics

\(306 \mathrm{~J}\) of heat is required to raise the temperature of 2 moles of an ideal gas at constant pressure from \(25^{\circ} \mathrm{C}\) to \(35^{\circ} \mathrm{C}\). The amount of heat required to raise the temperature of the same gas through the same range at constant volume is

  1. A \(306 \mathrm{~J}\)
  2. B \(153 \mathrm{~J}\)
  3. C \(140 \mathrm{~J}\)
  4. D \(80 \mathrm{~J}\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(140 \mathrm{~J}\)

Step-by-step Solution

Detailed explanation

Given, at constant pressure heat \(Q_p=306 \mathrm{~J}\) Number of mole, \(n=2\) \(\begin{aligned} \Delta T & =T_2-T_1 \\ & =35-25=10^{\circ} \mathrm{C} \end{aligned}\) We know that, \(Q_p=n C_p \Delta T\)…