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The constant-pressure heat capacity of a sample of a perfect gas
was found to vary with temperature according to the expression C_p/(J K⁻¹) = 20.17 + 0.4001(T/K). Calculate q, w, ΔU, and ΔH when the temperature is raised from 25 °C to 100 °C (i) at constant pressure, (ii) at constant volume.

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