The volume of a gas measured at `27^(@)C` and 1 atm pressure is 10L. What final temperature would be required to reduce the volume to 5.0 L at 1 atm pressure ?

Options

A. 450K
B. 327K
C. 150K
D. `100^(@)C`

Answer

C

Explanation

`V_(1) = ` 10L, `T_(1)` = 273 `+ 27 = 300K`,
`p_(1) = `1 atm
`V _(2) =` 5L,
`T_(2) = ?`
`p_(2) =` 1 atm
Since pressure is constant ,
`( V_(1))/( T_(1)) = ( V_(2))/( T_(2))`
or `T_(2) = ( V_(2))/( V_(1)) xxT_(1) = ( 5)/( 10) xx 300`