A gas cyclinder containing cooking gas can withstand a pressure of `14.9 atm`. The pressure gauge of cyclinder indicates `12 atm` at `27^(@) C`. Due to sudden fire in building the temperature starts rising. The temperature at which the cyclinder will explode is

Options

A. `42.5^(@)C`
B. `67.8^(@)C`
C. `99.5^(@)C`
D. `25.7^(@)C`

Answer

C

Explanation

`(P_(1))/(T_(1))=(P_(2))/(T_(2))`
`(12)/(300)=(14.9)/(T_(2))`
`T_(2)= 372.5 K= 99.5^(@)C`