Q34 / 268 · NTA Abhyas (NEET) 2020 · Physics · Thermodynamics

70 calories of heat is required to raise the temperature of 2 moles of an ideal diatomic gas at constant pressure from 30°C to 35°C. The amount of heat required (in calories) to raise the temperature of the same gas through the same range ( 30°C to 35°C ) at constant volume is

  • A
    30
  • Correct answer
    B
    50
  • C
    70
  • D
    90

Solution

Heat is required to raise the temperature at constant pressure,

Q1=nCPΔT,

Heat is required to raise the temperature at constant volume,

Q2=nCVΔT

Q2Q1=CVCP=1γ

Q2=Q1γ=701.4=50 cal

Hence, the correct answer is option: 'B'.

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