A gas can expand through two processes : (i) isobaric, (ii) `p/V` =constant. Assuming that the initial volume is same in both processes and the final volume which is two times the initial volume is also same in both processes, which of the following is true?

Options

A. (a) Work done by gas in process (i) is greater than the work done by the gas in process (ii)
B. (b) Work done by gas in process (i) is smaller than the work done by the gas in process (ii)
C. (c) Final pressure is greater in process (i)
D. (d) Final temperature is greater in process (i)

Answer

B

Explanation

In second process, `p prop V` i.e. `p-V` graph is straight line passing through origin.

Area under graph-2 is more.
`:.` `W_2gtW_1`
`Further, `T prop pV`
`(pV)_2gt(pV)_1`
`:.` `T_2gtT_1`