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
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