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Question

What will be the ratio between the root mean square speed of H2 at 50K and that of O2 at 800K?


A

1

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B

2

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C

4

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D

1/4

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Solution

The correct option is A

1


Explanation for the correct option:

(A) 1

Step 1: Apply the formula for the root mean square velocity for H2 at 50K

vrms=3RTMv1=3R×502

Step 2: Apply the formula for the root mean square velocity for O2 at 800K

v2=3R×80032

Step 3: Find the ratio of the speeds

v1v2=3R×5023R×80032v1v2=50×322×800v1v2=16001600=1

Explanation for the incorrect options:

Since, the root mean square speed of H2 at 50K and that of O2 at 800K is 1. Therefore, options (B), (C) and (D) stand incorrect.

Hence, option (A) is correct. The ratio between the root mean square speed of H2 at 50K and that of O2 at 800K is 1.


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