Identify the characteristics of an adiabatic process in a monatomic gas. (A) Internal energy is constant. (B) Work done in the process is equal to the change in internal energy. (C) The product of temperature and volume is constant. (D) The product of pressure and volume is constant. (E) The work done to change the temperature from T₁ to T₂ is proportional to (T₂ - T₁). Choose the correct answer.
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Question

Identify the characteristics of an adiabatic process in a monatomic gas. (A) Internal energy is constant. (B) Work done in the process is equal to the change in internal energy. (C) The product of temperature and volume is constant. (D) The product of pressure and volume is constant. (E) The work done to change the temperature from T₁ to T₂ is proportional to (T₂ - T₁). Choose the correct answer.

Options

G1 Physics · Accepted Answer

For an adiabatic process, dQ = 0. Using the work convention adopted in the source, the work done on the gas changes its internal energy, so statement B is taken as correct. For an ideal monatomic gas, ΔU = nCᵥ(T₂-T₁), so the work magnitude in an adiabatic process is proportional to (T₂-T₁). Hence E is correct. A is false because internal energy changes when temperature changes. C is false: the adiabatic relation is T V ( γ − 1 ) V^(γ-1) V ( γ − 1 ) = constant, not TV = constant. D is false: the…