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QUESTION: 1

At a constant pressure of the following graph, the one which represents the variation of the density of an ideal gas with the absolute temperature T, is

Select one:

Solution:

We know the relation between Pressure and Density.

when P is constant

pv^{2 }= constant

or

dT = constant

The correct answer is:

QUESTION: 2

Four molecules of a gas are having speed of 1, 4, 8 and 16 ms^{-1}. The root mean square velocity of the gas molecules is

Select one:

Solution:

Root mean square speed,

= 9.2 ms^{-1}

The correct answer is: 9.2 ms^{-1}

QUESTION: 3

Root mean square velocity of gas molecule is 300 ms^{-1}. The r.m.s velocity of molecule of gas with twice the molecular weight and half absolute temperature is.

Select one:

Solution:

The r.m.s. velocity

The correct answer is: 150 ms^{-1}

QUESTION: 4

The energy density u/V of an ideal gas is related to its pressure p as.

Select one:

Solution:

If u/V is energy density then from relation.

The correct answer is:

QUESTION: 5

Arrange root mean square; most probable and average speeds in the order of increasing value.

Select one:

Solution:

Therefore

Hence,

The correct answer is:

QUESTION: 6

V versus T curves at constant pressure P_{1} and P_{2} for an ideal gas as shown in figure. Here

Select one:

Solution:

From the ideal gas equation PV = nRT

or,

But V/T = Slope of the graph

So,

∴ where tanθ is the slope of the graph

So, more the slope, lesser will be the pressure.

The correct answer is:

P_{1} > P_{2}

QUESTION: 7

The density of air at a less of 10^{5} Nm^{-2} is 1.2 kgm^{-3}. Under these condition, the root mean square velocity of the air molecule in ms^{-1} is

Select one:

Solution:

Root mean square speed,

The correct answer is: 500

QUESTION: 8

Formula for average speed of a gas having M molecular mass.

Select one:

Solution:

QUESTION: 9

For O_{2} gas molecule, the most probable speed at temperature T is equal to 1.5 × 10^{3} ms^{-1} , then temperature T is

Select one:

Solution:

We know,

Then

= 4330K

The correct answer is: 4330 K

QUESTION: 10

Which of the following graphs best represents the relationship between absolute temperature of a gas and the average kinetic energy of the gas molecules?

Select one:

Solution:

We know that K.E. is directly proportional to temperature.

The correct answer is:

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