Question

If the v is 30R 1/2 at 27°C then calculate the molar
mass of gas in kilogram.
[DUCMET]​

Answer 1

If the v is 30√R at 27°C then the molar mass of gas is 0.001 kg.

Explanation:

It is given that,

The root mean square velocity of the gas, v = 30√R

Temperature, T = 27°C = 27 + 273 K = 300 K

We know the formula for the root mean square velocity of the gas is given by,

Vrms = $\sqrt{\frac{3RT}{M}}$

Where,

R = ideal gas constant

T = temperature

M = molar mass of the gas

Substituting the given values in the formula, we get

30√R = $\sqrt{\frac{3*R* 300}{M}}$

Taking square on both sides

⇒ 30² * R = $\frac{3*R*300}{M}$

⇒ M = $\frac{3*300}{30 * 30}$

⇒ M = 1 g

⇒ M = 1/1000 kg

⇒ M = 0.001 kg

Thus, the molar mass of the gas in kilograms is 0.001.

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Answer 2

Answer:

Ans =0.001kg

hopes it helps you