- (a) "the temperature of the gas remain constant" - This is the definition of an isothermal process. Correct. - (b) "the gas does not take any heat from the surroundings" - This is incorrect. For the temperature to remain constant during expansion, the gas must absorb heat to do work (ΔU = Q - W; if ΔU=0, Q=W). During compression, it must release heat. Correct. - (c) "the internal energy of the gas remains constant" - For an ideal gas, internal energy is solely a function of temperature (U = U(T)). Since the temperature remains constant in an isothermal process (T=constant), the internal energy of an ideal gas also remains constant (ΔU = 0). This is a fundamental property of isothermal processes for ideal gases. Correct. - (d) "the pressure and volume of the gas remain constant" - This is incorrect. In an isothermal process involving a gas, pressure and volume typically change while maintaining a constant product (PV = constant for an ideal gas, following Boyle's Law). Only if there is no work done (W=0) and no heat exchange (Q=0) would P and V potentially remain constant, which would be an isochoric or isobaric process under specific conditions, not a general isothermal one. Correct.
Which of the following statements are correct? In an isothermal process, (a) the temperature of the gas remain constant (b) the gas does not take any heat from the surroundings (c) the internal energy of the gas remains constant (d) the pressure and volume of the gas remain constant
Asked in TNPSC CS Prelims 2014 · Topic: Heat and Thermodynamics (Thermodynamic Processes (Isothermal, Adiabatic, Isobaric, Isochoric))
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