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Question: A sealed tube which can withstand a pressure of 3 atmosphere is filled with air at \(27^{o}C\) and 7...

A sealed tube which can withstand a pressure of 3 atmosphere is filled with air at 27oC27^{o}C and 760 mm pressure. The temperature above which the tube will burst will be

A

900oC900^{o}C

B

627oC627^{o}C

C

627oC627^{o}C

D

1173oC1173^{o}C

Answer

627oC627^{o}C

Explanation

Solution

The tube will burst when the final pressure exceeds 3 atm. at constant volume,

P1T1=P2T2\frac{P_{1}}{T_{1}} = \frac{P_{2}}{T_{2}} i.e. 760300K=3×760T2\frac{760}{300K} = \frac{3 \times 760}{T_{2}}

T2=900K=627oCT_{2} = 900K = 627^{o}C