Q137 / 160 · AP EAMCET 2019 (21 Apr Shift 2) · Physics

The amount of heat that must be supplied to 35 g of oxygen at room temperature to raise its temperature by 80 °C at constant volume is (molecular mass of oxygen is 32 and R=8.3 J mol-1 K-1)

  • A
    2.84 kJ
  • B
    1.68 kJ
  • Correct answer
    C
    1.81 kJ
  • D
    2.88 kJ

Solution

The expression for the heat supplied at constant volume,

Q=nCvdT

Q=mMCνdT

For oxygen, Specific heat at constant volume
Cv=f2RT=52RT (f=Degree of freedom)

Substitute the given values in the above equation.

Q=353252R 80

Q=353252×8.31 80

Q=1817.812 J

Q≈1.81 kJ

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

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