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A gas P diffuses five times rapidly on another gas Q. Calculate the ratio of molecular mass of P and Q

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Answer:

1:25

Step-by-step explanation:

Rate of Diffusion & Molar Mass

We're given:

  • gas P diffuses 5 times faster than gas Q

Let
R_P be the rate of diffusion of gas P, and let
R_Q be the rate of diffusion of gas Q.


R_P=5R_Q

Rate of diffusion is inversely proportional to molar mass:


(R_P)/(R_Q)=\sqrt{(M_Q)/(M_P)}\\\\(5)/(1)=\sqrt{(M_Q)/(M_P)}\\\\(5^2)/(1)=(M_Q)/(M_P)\\\\(M_Q)/(M_P)=25\\\\(M_P)/(M_Q)=(1)/(25)

Thus, the ratio of molecular mass of P to Q is 1:25.

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