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First law of thermodynamics

Question

Consider the following statements :

A) Heat given to an ideal gas under isothermal conditions is used completely to do external work.

B) The change in internal energy in a thermodynamic process is independent of the path.

Easy
Solution

In an isothermal process. Temperature is constant.

\large So\,\Delta U\, = \,0

From 1st law \large Q\, = \,\Delta U\, + w

Internal energy of a gas depends upon temperature of gas and is independent of the path taken



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