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KCET2026PhysicsKinetic Theory of Gases

The graph of pressure P and volume V of 1 mole of an ideal gas at constant temperature is

Correct answer

3

Step-by-step solution

According to the ideal gas equation, PV = nRT . For 1 mole of an ideal gas at constant temperature, n and T are constant. Therefore, PV = constant . This implies that pressure P is inversely proportional to volume V , which can be written as P 1 V . The mathematical relationship PV = constant represents a rectangular hyperbola. Among the given graphs, Graph-IV correctly depicts a rectangular hyperbola, which is the characteristic P-V curve for an isothermal process. Answer:

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