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COMEDK202510 May 2025Evening ShiftPhysicsThermodynamicsActual

The heat required to increase the temperature of 4 moles of a mono-atomic ideal gas from 273^ C to 473^ C at constant volume is

Options

  1. A1200 R
  2. B600 R
  3. C1600 R
  4. D400 R

Correct answer

A. 1200 R

Step-by-step solution

The heat required at constant volume is given by the formula Q = n C_ v T . For a mono-atomic ideal gas, the molar heat capacity at constant volume is C_ v = 3 2 R . Given values are n = 4 moles, T₁ = 273^ C , and T₂ = 473^ C . The change in temperature is T = T₂ - T₁ = 473 - 273 = 200 K . Substituting these values into the formula: Q = 4 ( 3 2 R ) 200 Q = 4 1.5 R 200 Q = 6 R 200 = 1200 R . Answer: 1200 R

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