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Question

L.P.G. cylinder can withstand a pressure of 14.9 atmosphere. The pressure gauge of the cylinder indicates 12 atmosphere at 27C Due to a sudden fire in the building the temperature rises. At what temperature will the cylinder explode.

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Solution

P subscript 1=12 ATM

T subscript 1 equals 27 degree C or 273+27=300 K

P subscript 2=14.9 ATM

therefore, T subscript 2 equals fraction numerator P subscript 2 T subscript 1 over denominator P subscript 1 end fraction

=fraction numerator 14.9 cross times 300 over denominator 12 end fraction

=372.5 K or 372.5 -273=99.5 degree C


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