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Q. Internal energy of a gas remains unchanged in
(I) an isothermal process
(II) an adiabatic process
(III) a reversible process
(IV) a cyclic process
Which of the these are true?

JIPMERJIPMER 2014Thermodynamics

Solution:

Cyclic process $\quad \Delta U=0$
so elnternal energy remains constant.
Isothermal process
$T=$ const.
so $U=$ constant.
So Internal energy of a gas remains constant in an Isothermal and cyclic process.