A cylinder contains gas at `2 xx 10^(5) Pa`and `47^(@)C`. The cylinder is steadily heated. Neglecting any change in its volume, find the temperature at which the cylinder will break if the walls of cylinder can bear a maximum pressure of `8 xx 10^(5) Pa`

Answer

`1007^(@)C`

Explanation

At constant volume
`P prop T ,(P_(2))/(P_(1)) = (T_(2))/(T_(1)) rarr T_(2) = T_(1) (P_(2))/(P_(1))`
`= (320 xx 8 xx 10^(5))/(2xx10^(5)) = 1280 K = 1007^(@)C`