The volume (V) of a monoatomic gas varies with its temperature (T), as shown in the graph. The ratio of work done by the gas to the heat absorbed by it, when it undergoes a change from state A to state B, is:
Options

Question

The volume (V) of a monoatomic gas varies with its temperature (T), as shown in the graph. The ratio of work done by the gas to the heat absorbed by it, when it undergoes a change from state A to state B, is:

Options

G1 Physics · Accepted Answer

Step 1: The V–T graph is a straight line passing through the origin, indicating constant pressure (Charles’s law). Step 2: For an isobaric process, work done by the gas W = PΔV = nRΔT. Step 3: Heat supplied Q = nCₚΔT. Step 4: A monoatomic ideal gas has Cₚ = (5/2)R. Step 5: W/Q = R/Cₚ = R/[(5/2)R] = 2/5. Final answer: (C) 2/5.