The molecular velocities of two gases at the same temperature are $u_{1}$ and $u_{2}$ and their molecular masses are $m_{1}$ and $m_{2}$ respectively which of the following expressions are correct?

\frac{m_{1}}{r_{1}^{2}} = \frac{m_{2}}{u_{2}^{1}}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

m_{1} u_{1} = m_{2} u_{2}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

\frac{m_{1}}{u_{1}} = \frac{m_{2}}{u_{2}}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

m_{1} u_{1}^{2} = m_{2} u_{2}^{2}

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Open in App

Solution

The correct option is D $m_{1} u_{1}^{2} = m_{2} u_{2}^{2}$
All molecular velocities have the same relation with the molecular mass of a gas. All of them are inversely proportional to the root of the molecualr mass.
So, the expression is as follows;
$u \propto \frac{1}{\sqrt{m}}, m_{1} u_{1}^{2} = m_{2} u_{2}^{2}$

Suggest Corrections

Similar questions

Molecular velocities of the two gases at the same temperature are $u_{1}$ and $u_{2}$ . Their masses are $m_{1}$ and $m_{2}$ respectively. Which of the following expressions is correct

The molecular velocities of two gases at same temperature are $u_{1}$ and $u_{2}$ , their molar masses are $m_{1}$ and $m_{2}$ respectively. Which of the following expression is correct?

Q. Molecular velocities of two gases at the same temperature are

U_{1}

and

U_{2}

and their molecular masses are

m_{1}

and

m_{2}

respectively. Which of the following expression is correct?

The molecular velocities of two gases at same temperature are $u_{1}$ and $u_{2}$ , their molar masses are $m_{1}$ and $m_{2}$ respectively. Which of the following expression is correct?

If the molecular weight of two gases are $M_{1}$ and $M_{2}$ , then at a given tempreture the ratio of their root mean square velocity $v_{1}$ and $v_{2}$ will be

Join BYJU'S Learning Program

The molecular velocities of two gases at the same temperature are u1 and u2 and their molecular masses are m1 and m2 respectively which of the following expressions are correct?

The correct option is D m1u21=m2u22All molecular velocities have the same relation with the molecular mass of a gas. All of them are inversely proportional to the root of the molecualr mass. So, the expression is as follows; u∝1√m,m1u21=m2u22

The molecular velocities of two gases at the same temperature are $u_{1}$ and $u_{2}$ and their molecular masses are $m_{1}$ and $m_{2}$ respectively which of the following expressions are correct?