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An open vessel contains air at 27 degree Celsius. The vessel is heated till two fifth of the air in it has been expelled. Assuming the volume of the vessel remains constant, find the temperature to which the vessel has to be heated?

An open vessel contains air at 27 degree Celsius. The vessel is heated till two fifth of the air in it has been expelled. Assuming the volume of the vessel remains constant, find the temperature to which the vessel has to be heated?

Grade:10

1 Answers

Arun
25750 Points
6 years ago

Dear student

 

 

Let the number of moles of air pesent in the vessel = n

75% means ¾ th of the original moles of gas has been expelled.

Therefore, the remaining number of moles of air in the vessel = (n – ¾ n)

   =  ¼ n

At constant pressure and volume,

n1T1= n2T2

n x 300 = 3/5 n x T2

T2 = 500 K = 227 degree Celcius

 

Hence, the temperature to which the vessel has been heated is 227 degree Celcius

 

 

Regards

Arun (askIITians forum expert)

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