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COMEDK · Physics · 13. Thermodynamics

An ideal gas is taken through the cycle \(A \to B \to C \to A\), as shown in the figure (assume Volume \(V\) is in \(m^3\)). If the net heat supplied to the gas in the cycle is 5 J, the work done by the gas in the process \(C \to A\) is,

  1. A \(-5 \mathrm{~J}\)
  2. B \(-10 \mathrm{~J}\)
  3. C \(-15 \mathrm{~J}\)
  4. D \(-20 \mathrm{~J}\)
Verified Solution

Answer & Solution

Correct Answer

(A) \(-5 \mathrm{~J}\)

Step-by-step Solution

Detailed explanation

For a complete cycle, \(\Delta U_{net} = 0\), so by the first law: \(W_{net} = Q_{net} = 5\) J \(W_{net} = W_{A \to B} + W_{B \to C} + W_{C \to A}\) Process \(A \to B\): Constant pressure \(p = 10\) N/m\(^2\), volume increases from \(V_A = 1\) m\(^3\) to \(V_B = 2\) m\(^3\)…