A cylinder with movable piston is fitted with `H_(2)` gas at `27^(@)C` that occupies 250ml. If the maximum capacity of the cylinder is 1L, the highest temperature to which the cylinder can be heated at constant pressure without having the piston to come out is `:`

Options

A. `1200^(@)C`
B. `977^(@)C`
C. `927^(@)C`
D. `1023K`

Answer

C

Explanation

`T_(1) = 273 + 27 = 300K`,
`V_(1) = 250 ml`
`V_(2) = `1000ml, `T_(2) = ?`
At constant pressure,
`(V_(1))/( T_(1)) = ( V_(2))/( T_(2))`
or `T_(2) = ( V_(2) T_(1))/( V_(1))`
or ` = ( 1000xx300)/( 250) = 1200K`
`T_(2) = 1200 - 273 = 927^(@)C`