Identify the correct statements from the following. (I) For adiabatic process, $\Delta U=W_{\text {adiabatic…
Identify the correct statements from the following.
(I) For adiabatic process, $\Delta U=W_{\text {adiabatic }}$
(II) Work is path function.
(III) Volume is an extensive property.
I, II, III
I, III only
II, III only
I, II only
Solution
From first law, $\Delta U=q+W$
For adiabatic process, $q=0$
$
\Delta U=W
$
Work is path function. Consider the $p V$ curve shown below. To reach from initial state 1 to final state 2 , the area under the curve when path $A$ is taken is more than the area under the curve when path $B$ is taken. So, work done is more when path $A$ is adopted. An extensive property is a property that depends on the amount of matter in a sample. Mass and volume are examples of extensive properties.
Hence, statement I, II and III are correct