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MHT CET · Physics · Thermodynamics

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

  1. A \(3: 5\)
  2. B \(5: 3\)
  3. C \(2: 5\)
  4. D \(3: 2\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(2: 5\)

Step-by-step Solution

Detailed explanation

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