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A gas cylinder can withstand a pressure ...

A gas cylinder can withstand a pressure of 15 atm. The pressure of cylinder is measured 12 atm at `27^(@)C`. Upto which temperature limit the cylinder will not burst?

A

`375^(@)C`

B

`102^@ C`

C

`33.75^(@) C`

D

`240^(@)C`

Text Solution

Verified by Experts

The correct Answer is:
B
Cylinder will burst at that temperature when it attains the pressure of 15 atm
`P_1 = atm , T_1 = 27^(@) C = 27 + 273 = 300 K , P_2 = 15 atm, T_2 = ?`
`(P_1 )/(T_1) = (P_2)/(T_2) implies T_2 = (15 xx 300)/(12) = 375K = (375-273)^(@)C = 102^@ C`
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