Q149 / 150 · MHT CET 2024 (15 May Shift 1) · Physics

A quantity of heat ' Q ' is supplied to monoatomic ideal gas which expands at constant pressure. The fraction of heat converted into work is $\left[\gamma=\frac{C_p}{C_v}=\frac{5}{3}\right]$

  • A
    $3: 5$
  • B
    $5: 3$
  • Correct answer
    C
    $2: 5$
  • D
    $3: 2$

Solution

$\begin{aligned} & \frac{\Delta Q}{\Delta U}=\frac{C_p}{C_v}=\gamma \\ \therefore \quad & \frac{\Delta Q}{\Delta U}=\frac{5}{3} \\ & \frac{\Delta Q-\Delta U}{\Delta Q}=\frac{5-3}{5} \ldots(\text { Applying dividend) } \\ \therefore \quad & \frac{W}{\Delta Q}=\frac{2}{5}\end{aligned}$

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

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