Solveeit Logo

Question

Question: If the molecular weight of two gases are M<sub>1</sub> and M<sub>1</sub>, then at a temperature the ...

If the molecular weight of two gases are M1 and M1, then at a temperature the ratio of root mean square velocity v1 and v2 will be

A

M1M2\sqrt{\frac{M_{1}}{M_{2}}}

B

M2M1\sqrt{\frac{M_{2}}{M_{1}}}

C

M1+M2M1M2\sqrt{\frac{M_{1} + M_{2}}{M_{1} - M_{2}}}

D

M1M2M1+M2\sqrt{\frac{M_{1} - M_{2}}{M_{1} + M_{2}}}

Answer

M2M1\sqrt{\frac{M_{2}}{M_{1}}}

Explanation

Solution

vrms=3RT/Mv_{rms} = \sqrt{3RT/M}Ž v1v2=M2M1\frac{v_{1}}{v_{2}} = \sqrt{\frac{M_{2}}{M_{1}}}