Q23 / 268 · NTA Abhyas (NEET) 2020 · Physics · Thermodynamics

An ideal gas is expanding such that PT2 = constant. The coefficient of volume expansion of the gas is

  • A
    1 T
  • B
    2 T
  • Correct answer
    C
    3 T
  • D
    4 T

Solution

P T 2 = constant

∴   n RT V T 2 = constant


or,   T 3 V - 1 = constant

Differentiating the equation, we get

3 T 2 V · dT - T 3 V 2 dV = 0

or,   3 dT = T V · dV  ..........(i)

From the equation, dV = V γ dT

γ = Coefficient of volume expansion of gas = dV V · dT

From Eq.(i)  γ = dV V · dT = 3 T

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

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