Question

Rms speed of so2 molecule at 400k is equal to Rms speed of ch4 molecule at

Answer 1

Answer:

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100k

Answer 2

Given: Rms speed of sulfur dioxide molecule at 400k is equal to Rms speed of methane molecule.

To find: We have to find the temperature.

Solution:

The rms speed can be calculated by the below formula-

rms speed=$\sqrt{\dfrac{3RT}{M}}$

The molecular weight of sulfur dioxide is 64.

The rms speed for sulfur dioxide gas at 400K can be given as-

$\sqrt{\dfrac{3R×400}{64}}$

The molecular weight of sulfur dioxide is 64.

The rms speed for methane gas at 400K can be given as-

$\sqrt{\dfrac{3RT}{16}$

Now we can write-

The molecular weight of sulfur dioxide is 64.

The rms speed for sulfur dioxide gas at 400K can be given as-

$\sqrt{\dfrac{3R×400}{64}}=\sqrt{\dfrac{3R×T}{16}}$

T=400×16/64

T=100

The temperature is 100K.