An ideal gas is expanding such that P T 3 = constant. The coefficient of volume expansion of the gas is:

An ideal gas is expanding such that PT3= constant. The coefficient of volume expansion of the gas is:
  1. 2T
  2. 3T
  3. 1T
  4. 4T

Solution

γ=1VdVdt

PT3= constant

TVT3= Constant

T4 V-1=C

V-14 T3 dT+T4-1 V2 d V=0

dVdT=4T3/VT4/V2=4VT  ∴γ=4T

Asked in: JEE Main 2021 (27 Aug Shift 1)

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