Kinetic Theory Of Gases Question 61

Question: Three containers of the same volume contain three different gases. The masses of the molecules are $ m _{1},m _{2} $ and $ m _{3} $ the number of $ N _{1} $ , $ N _{2} $ and $ N _{3}. $ The gas pressure in the containers $ P _{1},P _{2} $ and $ P _{3} $ respectively. All the gases are now mixed and put in one of these containers. The pressure P of the mixture will be

Options:

A) $ P<( P _{1}+P _{2}+P _{3} ) $

B) $ P=\frac{P _{1}+P _{2}+P _{3}}{3} $

C) $ P=P _{1}+P _{2}+P _{3} $

D) $ P>( P _{1}+P _{2}+P _{3} ) $

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Answer:

Correct Answer: C

Solution:

[c] According to Dalton’s law of partial pressures, we have $ P=P _{1}+P _{2}+P _{3} $