Two containers are filled, each with a different gas. Two containers are at the same temperature. Suppose that the molecules weights of the two gases

Question

Two containers are filled, each with a different gas. Two containers are at the same temperature. Suppose that the molecules weights of the two gases

Two containers are filled, each with a different gas. Two containers are at the same temperature. Suppose that the molecules weights of the two gases are `M_(A) and M_(B)`. Then the average momenta (in magnitude) of the molecules are related as
A. `P_(A)=P_(B)`
B. `P_(A)=((M_(B))/(M_(A)))P_(B)`
C. `P_(A)=((M_(B))/(M_(A)))^(1//2)`
D. `P_(A)=((M_(A))/(M_(B)))^(1//2)P_(B)`

Monjur Alahi

4 views

2025-01-04 04:42

1 Answers

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Salim Ahmed Kawsar · Accepted Answer · 2023-02-05T15:29:48+06:00

Salim Ahmed Kawsar

Correct Answer - D
`(P_(A))/(P_(B))=(M_(A)V_(A))/(M_(B)V_(B))=(M_(A))/(M_(B))sqrt(((3RT)/(M_(A)))/((3RT)/(M_(B))))`
`=(M_(A))/(M_(B))xxsqrt((M_(B))/(M_(A)))=sqrt((M_(A))/(M_(B)))`
`P_(A)=sqrt((M_(A))/(M_(B)))`

4 views Answered 2023-02-05 15:29