Which of the following gases has the highest | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(A) The root mean square $(RMS)$ velocity of a gas is given by the formula $v_{	ext{rms}} = \sqrt{\frac{3RT}{M}}$.Since $R$ and $T$ are constant for

Vedclass · Accepted Answer

$CH_{4}$

Vedclass · Answer

(A) The root mean square $(RMS)$ velocity of a gas is given by the formula $v_{	ext{rms}} = \sqrt{\frac{3RT}{M}}$.Since $R$ and $T$ are constant for all gases at a given temperature,the $RMS$ velocity is inversely proportional to the square root of the molar mass,i.e.,$v_{	ext{rms}} \propto \frac{1}{\sqrt{M}}$.Comparing the molar masses $(M)$:$CH_{4} = 16 \ g/mol$$CO = 28 \ g/mol$$Cl_{2} = 71 \ g/mol$$CO_{2} = 44 \ g/mol$Since $CH_{4}$ has the lowest molar mass,it will have the highest $RMS$ velocity.

Which of the following gases has the highest value of $RMS$ velocity at $298 \ K$?

Similar Questions

Which of the following is correct regarding molecular speeds?

Select the correct relationship among the following. The symbols have their usual meanings.

At $3 \text{ atm}$ pressure,the weight of $14.8 \text{ L}$ of a gas is $15 \text{ g}$. What is the average speed of the gas molecules?

At temperature $T$ (in Kelvin),the $rms$ velocity of $CO_2$ is $x \ cm/sec$. At what temperature (in Kelvin) will the $rms$ velocity of nitrous oxide $(N_2O)$ be $4x \ cm/sec$ (in $T$)?

If the average velocity of $N_2$ gas at $27 \, ^oC$ is $0.3 \, m/sec$,then at what temperature in $K$ will the average velocity be $0.6 \, m/sec$?

Vedclass Test Series

Exam Paper Generator

Online Exam Module