For an ideal gas :

Options

A. the change in internal energy in a constant pressure process from temperature `T_1 toT_2` is equal to `nC_v(T_2-T_1),` where `C_v` is the molar specific heat at constant volume and n the number of moles of the gas.
B. the change in internal energy of the gas and the work done by the gas are equal in magnitude in an adiabatic process.
C. the internal energy does not change in an isothermal process.
D. no heat is added or removed in an adiabatic process.

Answer

A, B, C, D

Explanation

(a,b,c,d)
(a) For all thermal processes.
`DeltaU=nC_vDeltaT where DeltaT=(T_2-T_1)`
(b) According to first law of thermodynamics.
`DeltaQ=DeltaU+DeltaW`
In an adiabatic processes `DeltaQ=0.`
or, `0=DeltaU+DeltaW`
or, `|DeltaU|=|DeltaW|`
(c) In the isothermal process, `DeltaT=0`
`:' DeltaU=0`
(d) In the adiabatic process, `DeltaQ=0.`