Three vessels of equal capacity have gases at | vedclass

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

Question

(C) According to the ideal gas law $PV = nRT$,since $P$,$V$,and $T$ are the same for all vessels,the number of moles $n$ is the same. By Avogadro's la

Vedclass · Accepted Answer

The root mean square speed of helium is the largest.

Vedclass · Answer

(C) According to the ideal gas law $PV = nRT$,since $P$,$V$,and $T$ are the same for all vessels,the number of moles $n$ is the same. By Avogadro's law,the number of molecules is the same in all vessels.The root mean square speed $(V_{rms})$ of gas molecules is given by the formula:$V_{rms} = \sqrt{\frac{3RT}{M}}$where $R$ is the universal gas constant,$T$ is the absolute temperature,and $M$ is the molar mass of the gas.Since $R$ and $T$ are constant,$V_{rms} \propto \frac{1}{\sqrt{M}}$.The molar masses are:$M_{He} = 4 	ext{ g/mol}$$M_{F_2} = 38 	ext{ g/mol}$$M_{SF_6} = 146 	ext{ g/mol}$Since helium has the smallest molar mass,it will have the largest root mean square speed.

Three vessels of equal capacity have gases at the same temperature and pressure. The first vessel contains helium (monoatomic),the second contains fluorine (diatomic) and the third contains sulfur hexafluoride (polyatomic). The correct statement among the following is:

Similar Questions

The temperature of a gas is $-80^{\circ} C$. To what temperature should the gas be heated so that the r.m.s. speed is increased by $2$ times (in $^{\circ} C$)?

At a temperature of $27^{\circ}C$ and a pressure of $1 \, atm$,the ratio of the root mean square velocities $(\nu_{rms})_{H_2} / (\nu_{rms})_{O_2}$ for hydrogen and oxygen molecules is:

If $c$ is the $rms$ speed of molecules in a gas and $v$ is the speed of sound waves in the gas,show that $\frac{c}{v}$ is constant and independent of temperature for all diatomic gases.

If a gas is compressed isothermally,then the r.m.s. velocity of its molecules

The respective speeds of the molecules are $1, 2, 3, 4$ and $5 \ km/sec$. The ratio of their $r.m.s.$ velocity and the average velocity will be

Vedclass Test Series

Exam Paper Generator

Online Exam Module