Consider an ideal gas undergoing processes as shown below Co

Consider an ideal gas undergoing processes as shown below. Consider only P-V work in going from an initial state X to a final state Z. The final state Z can be reached by either of two paths as shown. Taking S as entropy and as work,

(There may be more than one correct answer)

and as work (YYZ-z) (a) AS (XZ) = S (X-W) + S (YZ) (b) W (XZ) = W (X-> Y) + W (YZ) z (c) W/XYZ) =W/X Y) (d) AS (X-W-Z-AS (X-W)

Solution

the correct options are a and c.

as entropy is a property the first equation will be valid

for the process Y-Z as it is a constant volume process,

W(Y-Z)=0

Which implies third equation to be correct