Q79 / 90 · KVPY 2013 (SB/SX) · Physics

The bulk modulus of a gas is defined as $B=-V d P / d V$. For an adiabatic process the variation of $B$ is proportional to $P^{n}$. For an idea gas, $n$ is

  • A
    0
  • Correct answer
    B
    1
  • C
    $\frac{5}{2}$
  • D
    2

Solution

For adiabatic process $$ \begin{array}{l} P V^{\prime}=C \\ P \gamma V^{\prime-1}+\frac{d p}{d v} v^{\gamma}=0 \\ \gamma P=-V \frac{d p}{d v} \\ \text { Hence } n=1 \end{array} $$

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

More Thermodynamics Questions