Temperature of an ideal gas is 300 K . The final temperature of the gas when its volume changes from `V " to " 2V` in the process `p=alphaV` (here `alpha` is a positive constant) is

Options

A. 900 K
B. 1200 K
C. 600 K
D. 300 K

Answer

C

Explanation

The given relation is `p prop V`
Therefore, `p prop V`
When V changes from V to 2V, pressure p is also doubled
For an ideal gas, `(pV)/T` =constant
`:. `T prop pV`. Hence, T becomes `2 xx 2 = 4` times
ie, `4 xx 300 K = 1200 K`