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The temperature of ideal gas present in a closed vessel is increased by 5°C,so that it`s pressure increased by 1% .find out initial temperature

The temperature of ideal gas present in a closed vessel is increased by 5°C,so that it`s pressure increased by 1% .find out initial temperature

Grade:12th pass

1 Answers

Arun
25750 Points
6 years ago
As vessel is closed , so volume of the container is constant.

P proportional to T
where P = pressure 
and T= temperature

so,
P1/P2 = T1/T2

now pressure in increased by 1%
Hence
P2 = P1 + P1*1/100 = 1.01 P1
T2 = T1+5

so,
P1/1.01P1 = T1/T1+5
T1+ 5 = 1.01 T1
0.01 T1 = 5
T1 = 500 K
T1 = 227°C

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