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JEE Mains · Physics · STD 11 - 11. thermodynamics

10 mole of oxygen is heated at constant volume from \(30^{\circ} C\) to \(40^{\circ} C\). The change in the internal energy of the gas is _________ cal. (The molecular specific heat of oxygen at constant pressure, \(C _{ p }=7 cal . / mol ^{\circ} C\) and \(\left.R =2 cal . / mol ^{\circ} C .\right)\)

  1. A 250
  2. B 700
  3. C 500
  4. D 100
Verified Solution

Answer & Solution

Correct Answer

(C) 500

Step-by-step Solution

Detailed explanation

\(\Delta U = nC _{ v } \Delta T\) \(=n\left(C_P-R\right) \Delta T\) \(=10(7-2)(40-30)\) \(\Delta U =500\)
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