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Q. Statement 1: For an adiabatic process work done by gas is equal to increase in internal energy of gas.
Statement 2: For adiabatic process heat exchange is equal to zero.

Thermodynamics

Solution:

Statement-1 is false, Statement-2 is true.
As $Q=0$ for adiabatic process, then $\Delta U+W=0$ or $W=-\Delta U$