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Question: A mixture of two gases A and B is in a container at a constant temperature. Gas A is diatomic and B ...

A mixture of two gases A and B is in a container at a constant temperature. Gas A is diatomic and B is monoatomic. The ratio of molecular masses of A and B is 4. The ratio of the r.m.s. speed of A and B is –

A

1 : 1

B

1 : 2\sqrt{2}

C

2\sqrt{2}: 1

D

1 : 2

Answer

1 : 2

Explanation

Solution

Given (Mw)A(Mw)B\frac{(M_{w})_{A}}{(M_{w})_{B}} = 4

(Vr.m.s.)A(Vr.m.s.)B\frac{(V_{r.m.s.})_{A}}{(V_{r.m.s.})_{B}} =(Mw)A(Mw)B\sqrt{\frac{(M_{w})_{A}}{(M_{w})_{B}}}=12\frac{1}{2}