Hi, I have a question and I hope anyone could answer it:
An ideal gas goes from state A to state B via three different processes as indicated in the P-V diagram.
If Q1, Q2, Q3 indicate the heat absorbed by the gas along the three processes and ΔU1 ,ΔU2, ΔU3 indicate the change in internal energy along the three processes respectively, then
(a) Q1 > Q2 > Q3 and ΔU1 = ΔU2 = ΔU3
(b) Q3 > Q2 > Q1 and ΔU1 = ΔU2 = ΔU3
(c) Q1 = Q2 = Q3 and ΔU1 > ΔU2 > ΔU3
(d) Q3 > Q2 > Q1 and ΔU1 > ΔU2 >ΔU3
Q1>Q2>Q3
Because
ΔQ=ΔW+dU
Change in internal energy independent of path and work depends on path and the heat required increases as the work done increases.
∴ ΔQ1>ΔQ2>ΔQ3