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A gas cyclinder containing cooking gas c...

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

A

`87.5^(@)C`

B

`99.5^(@)C`

C

`115.5^(@)C`

D

`135.5^(@)C`

Text Solution

Verified by Experts

The correct Answer is:
B
For a gas cylinder V = constant , `rArr P prop T, (P_(1))/(P_(2)) (T_(1))/(T_(2))`
`(14.9)/(12) = (T_(1))/(300) rArr T_(1) = 300 xx (14.9)/(12) = (25)/(4)`
`T_(1) = 372 = 372.5 K or99.5^(@0C`
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