MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Temperature

Call the rms ...

Question

Call the rms speed of the molecules in an ideal gas $v_{0}$ at temperature $T_{0}$ and pressure $P_{0}$ . Find the speed if the temperature is raised from $T_{0} = 293 K$ to $573 K$ .

Open in App

Solution

Since rms speed is related to temperature as

$v_{r m s} = \sqrt{\frac{3 R T}{M}}$

Thus, $v_{r m s} α \sqrt{T}$

Hence, $\frac{{v^{'}}_{r m s}}{v_{0}} = \sqrt{\frac{T_{2}}{T_{1}}} = \sqrt{\frac{573}{293}} = 1.4$

Thus $v^{'} = 1.4 v_{0}$

Suggest Corrections

thumbs-up

0

Similar questions

Q. Call the rms speed of the molecules in an ideal gas

v_{0}

T_{0}

P_{0}

. Find the speed if the pressure is doubled and

T = T_{0}

Q. Call the rms speed of the molecules in an ideal gas

v_{0}

T_{0}

P_{0}

. Find the speed if the molecular weight of each of the gas molecules is tripled.

Q. Thermal coefficient of volume expansion at constant pressure for an ideal gas sample of

n

moles having pressure

P_{o}

V_{o}

and temperature

T_{o}

Q. The root mean square speed of gas molecules at a temperature

427 k

1.5 b a r

1 \times 10^{4} c m / s e c

. If the temperature is raised three times, Calculate the new rms speed of gas molecules.

Q. A closed vessel of volume

V_{0}

contains oxygen at a pressure

P_{0}

and temperature

T_{0}

. Another closed vessel of the same volume

V_{0}

contains helium at a pressure

P_{0}

and temperature

\frac{T_{0}}{2}

. Find the ratio of the masses of oxygen to the helium.

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Using KTG

PHYSICS

Watch in App

explore_more_icon

Explore more

Standard XII Physics

Join BYJU'S Learning Program

CrossIcon