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Question

Chemistry Question on States of matter

When r, P and M represent rate of diffusion, pressure and molecular mass, respectively, then the ratio of the rates of diffusion (rA/rB)(r_A/r_B) of two gases A and B, is given as:

A

(PA/PB)(MB/MA)1/2(P_A/P_B) (M_B/M_A)^{1/2}

B

(PA/PB)1/2(MB/MA)(P_A/P_B)^{1/2} (M_B/M_A)

C

(PA/PB)(MA/MB)1/2(P_A/P_B) (M_A/M_B)^{1/2}

D

(PA/PB)1/2(MA/MB)(P_A/P_B)^{1/2} (M_A/M_B)

Answer

(PA/PB)(MB/MA)1/2(P_A/P_B) (M_B/M_A)^{1/2}

Explanation

Solution

rPMr \propto \frac{P}{\sqrt{M}} rArB=PAPBMBMA\frac{r_{A}}{r_{B}}= \frac{P_{A}}{P_{B}} \sqrt{\frac{M_{B}}{M_{A}}}