Question:medium

One mole of an ideal monatomic gas undergoes a cyclic process as shown in the figure. The total heat supplied to the gas is:

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For any cyclic process, \[ \Delta U = 0 \] Therefore net heat supplied equals net work done.
Updated On: Jun 21, 2026
  • 800 J
  • 400 J
  • 500 J
  • 600 J
Show Solution

The Correct Option is D

Solution and Explanation

Step 1: Use the cyclic process rule.
Over one full cycle the gas returns to its starting state, so the internal energy change is $\Delta U = 0$.
Step 2: Relate heat to work.
By the first law, $Q_{net} = \Delta U + W_{net} = W_{net}$. So the heat supplied equals the net work done.
Step 3: Work equals enclosed area.
On a $P$-$V$ diagram, the net work in a cycle equals the area enclosed by the loop.
Step 4: Read the rectangle's sides.
From the graph, the pressure spans $\Delta P = 300 - 100 = 200$ N/m$^2$ and the volume spans $\Delta V = 5 - 2 = 3$ m$^3$.
Step 5: Compute the area.
$W = \Delta P \times \Delta V = 200 \times 3 = 600$ J.
Step 6: Get the heat supplied.
Since $Q = W$, the total heat supplied is $600$ J, which is option D.
\[ \boxed{ 600 \text{ J} } \]
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