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Q.37. A bulb with chlorine gas at ambient pressure contains 3.55 g at t ° C. When the bulb is placed in a second thermostat at a temperature 30 ° C higher and the stopcock of the bulb temporarily opened (and closed again) to restore the initial pressure, the bulb is now found to contain 3.2 g of chlorine. What is the value of t ° C?
(a) 2.81 ° C
(b) 8.21 ° C
(c) 8.12 ° C
(d) 1.28 ° C

Dear Student,

As we know the gas equation for an ideal gas is PV = nRT 
As given in the initial and final pressure is maintained same so, 
                                           n1RT1V1= n2RT2V2As the container remains same hence initial volume and final volume will be same.
So, 
      As initial temperature = t + 273 oK
           final temperature = t +30 + 273 o
Now,
                               3.55× (t+273)35.5= 3.2 × (t+303)35.5  3.55t + (3.55×273) = 3.2t +(3.2 × 303)          0.35t = 3.2 × 303 - 3.55 × 273          0.35t = 969.6 - 969.15                  t = 0.450.35                    =1.28 oC

So, the correct option is (4) .

Regards.

  • 3
Correct answer is (b)
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