For gaseous state, if most probable speed is denoted by C * , average speed by C ¯ and root mean square speed by C , then for many molecules, what is the ratios of these speeds?

C * : C - : C = 1 : 1 .128 : 1 .225

C * : C - : C = 1 : 1 .225 : 1 .128

C * : C - : C = 1 .225 : 1 .128 : 1

C * : C - : C = 1 .128 : 1 .225 : 1

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At $600 K$ , the root mean square $(rms)$ speed of gas $X$ (molar mass $= 40$ ) is equal to the most probable speed of gas $Y$ at $90 K$ . The molar mass of the gas $Y$ is _____ $g {mol}^{- 1}$ . (Nearest integer)

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Important Questions on Some Basic Concepts of Chemistry

EASY

Chemistry>Physical Chemistry>Some Basic Concepts of Chemistry>Matter and Its Nature

What will be the relation between the

T_{1}

of gas

1

with

M_{1} = 56

and

T_{2}

of gas

2

with

M_{2} = 44

if the average speed of gas

1

is equal to most probable speed of gas

2 ?

MEDIUM

Chemistry>Physical Chemistry>Some Basic Concepts of Chemistry>Matter and Its Nature

If the kinetic energy and

RMS

speed of a gas at a certain temperature are

4.0 kJ {mol}^{- 1}

and

5.0 \times 10^{4} cm s^{- 1}

, respectively. The molecular weight of the gas is

EASY

Chemistry>Physical Chemistry>Some Basic Concepts of Chemistry>Matter and Its Nature

The rms velocity of hydrogen is

\sqrt{7}

times the

rms

velocity of nitrogen. If

T

is the temperature of the gas, then

MEDIUM

Chemistry>Physical Chemistry>Some Basic Concepts of Chemistry>Matter and Its Nature

When the temperature of a gas is increased from

30 ° C

930 ° C

, the root mean square speed of the gas would

EASY

Chemistry>Physical Chemistry>Some Basic Concepts of Chemistry>Matter and Its Nature

For gaseous state, if most probable speed is denoted by

C^{*}

, average speed by

\bar{C}

and root mean square speed by

C

, then for many molecules, what is the ratios of these speeds?

MEDIUM

Chemistry>Physical Chemistry>Some Basic Concepts of Chemistry>Matter and Its Nature

The most probable velocity of a gas at

7200 K

is equal to the RMS velocity of

He

gas at

27 ° C .

The gas is

EASY

Chemistry>Physical Chemistry>Some Basic Concepts of Chemistry>Matter and Its Nature

If the r.m.s. speed of a gaseous molecule is

x m / \sec

at a pressure

p atm

, then what will be the r.m.s. speed at a pressure

2 p atm

and constant temperature ?

MEDIUM

Chemistry>Physical Chemistry>Some Basic Concepts of Chemistry>Matter and Its Nature

At what temperature

(

K)

, the most probable velocity of ozone gas is equal to RMS velocity of oxygen gas at

t ° C ?

EASY

Chemistry>Physical Chemistry>Some Basic Concepts of Chemistry>Matter and Its Nature

Initially, the root-mean-square (RMS) velocity of

N_{2}

molecules at certain temperature is

u

. If this temperature is doubled and all the nitrogen molecules dissociate into nitrogen atoms, then the new RMS velocity will be:

HARD

Chemistry>Physical Chemistry>Some Basic Concepts of Chemistry>Matter and Its Nature

If the distribution of molecular speeds of a gas is as per the figure shown below, then the ratio of the most probable, the average, and the root mean square speeds, respectively, is

Question Image

EASY

Chemistry>Physical Chemistry>Some Basic Concepts of Chemistry>Matter and Its Nature

At room temperature, the average speed of Helium is higher than that of Oxygen by a factor of:

MEDIUM

Chemistry>Physical Chemistry>Some Basic Concepts of Chemistry>Matter and Its Nature

The temperature at which oxygen molecules have the same root mean square speed as helium atoms have at 300 K is : (Atomic masses : He = 4 u, O = 16 u)

EASY

Chemistry>Physical Chemistry>Some Basic Concepts of Chemistry>Matter and Its Nature

The ratio of root-mean-square velocity of hydrogen at