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Thermodynamics

Question
CBSEENPH11026192

We consider a thermodynamic system. If ΔU represents the increase in its internal energy and W the work done by the system, which of the following statements is true?

  • ΔU = -W in an adiabatic process

  • ΔU = W in an isothermal process

  • ΔU = -W in an isothermal process

  • ΔU = W in an adiabtic process

Solution

A.

ΔU = -W in an adiabatic process

An isothermal process is a constant temperature process. In this process

T = constant (or) ΔT = 0

∴ΔU = nCv  ΔT = 0

An adiabatic process is defined as one with no heat transfer into or out of a system. Therefore,

            Q = 0

From first law of thermodynamics

            W = - ΔU

            ΔU = -W