A Gas cylinder containing cooking gas can withstand a pressure of 14.9 atmosphere. The pressure gauge of the cylinder indicates 12 atmosphere at 27degrees celsius. Due to the sudden fire in the building, its temperature starts rising.At what temperature will the cylinder explode
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Answer:
P
1
=12bar,T
1
=27+273=300K
P
2
=14.9 bar,T
2
=?
Applying pressure temperature law,
P
2
P
1
=
T
2
T
1
or T
2
=
P
1
T
1
×P
2
Substituting the values in the above equation,
T
2
=
12
300×14.9
=372.5K
Temperature in
0
C=372.5−273=99.5
∘
C
Hence the cylinder will explode at a temperature 99.5
∘
C
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