Q167 / 180 · KCET 2007 · Physics

During an adiabatic process, the cube of the pressure is found to be inversely proportional to the fourth power of the volume. Then the ratio of specific heats is

  • A
    1
  • Correct answer
    B
    $1.33$
  • C
    $1.67$
  • D
    $1.4$

Solution

Equation of an adiabatic process is $p V^{\gamma}=\text { constant }$ Given, $p^{3}=\frac{k}{V^{4}}$ $p^{3} V^{4}=k$ (constant) $\Rightarrow \quad p V^{4 / 3}=k$ Comparing Eqs. (i) and (ii), we get $$ \gamma=\frac{4}{3}=1.33 $$

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

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