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A 5 litre flask contains 0.5 mole each of sulphur dioxide and nitrogen gas at 27°C. Calculate the total pressure (in Pa) of the gas.         

Option: 1

249000


Option: 2

498000


Option: 3

747000


Option: 4

996000


Answers (1)

best_answer

 

 

 

DALTON'S LAW OF PARTIAL PRESSURE -

Dalton’s law of partial pressure :It states that the total pressure exerted by a mixture of non-reacting gases occupying a vessel is equal to the sum of the individual pressures which each gases exert if it alone occupied the same volume at a given temperature.

Now, let us have a mixture of 'n' gases, so from the above statement we can conclude that - 

 

                                                     \text { For } n \text { gases } P=P_{1}+P_{2}+P_{3}+\ldots . . P_{n}

Here, P = Pressure exerted by the mixture of gases

          P1,P2. . . . . . Pn = Partial pressure of the component gases.

 

Partial pressure of SO2  

PSO2 = nRT / V = 0.5 × 8.314 × 300 / 5 × 10–3   = 2.49 × 105 Nm–2 = 2.49 × 105 Pa  

 Similarly PN2 = 2.49 × 105 Pa  

Following Dalton’s Law  

PTotal = PN2 + PSO2   = 2.49 × 105 Pa + 2.49 × 105 Pa   = 4.98 × 105 Pa

Posted by

himanshu.meshram

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