Q26 / 268 · NTA Abhyas (NEET) 2020 · Physics · Thermodynamics

One mole of an ideal monoatomic gas at temperature T0 expands slowly according to the law PV=constant. If the final temperature is 2 T0, heat supplied to the gas is​

  • Correct answer
    A
    2RT0
     
  • B
    RT0
     
  • C
    32RT0
  • D
    12RT0

Solution

In a process PVx = constant, molar heat capacity is given by

C=Rγ-1+R1-x

As the process is PV=constant.

i.e PV-1 = constant, therefor, x = -1

For ideal monoatomic gas, γ = 5/3

∴C=R53-1+R1--1=3R2+R2=2R

ΔQ=nCΔT=12R2T0-T0=2RT0

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

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