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COMEDK · Physics · 13. Thermodynamics

The heat required to increase the temperature of 4 moles of a mono-atomic ideal gas from \(273^{\circ} \mathrm{C}\) to \(473^{\circ} \mathrm{C}\) at constant volume is

  1. A 1200 R
  2. B 600 R
  3. C 1600 R
  4. D 400 R
Verified Solution

Answer & Solution

Correct Answer

(A) 1200 R

Step-by-step Solution

Detailed explanation

The heat required at constant volume is given by the formula \(Q = n C_{v} \Delta T\). For a mono-atomic ideal gas, the molar heat capacity at constant volume is \(C_{v} = \dfrac{3}{2} R\). Given values are \(n = 4\) moles, \(T_{1} = 273^{\circ} \text{C}\), and…