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The $P - V$ graph is drawn for a given mass of gas at constant temperature. If $P$ and $V$ be the pressure and volume of the gas at a given state, the slope of $P V$ graph at the state is

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Important Questions on Kinetic Theory of Gases

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Gamma Question Bank for Engineering Physics>Chapter 12 - Kinetic Theory of Gases>Assignment>Q 5

Temperature at which rms speed of

{SO}_{2}

molecules is same as that of

O_{2}

molecules at

27 ° C .

(Given molecular weight of

O_{2}

and

{SO}_{2}

are

32

and

64

respectively)

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Gamma Question Bank for Engineering Physics>Chapter 12 - Kinetic Theory of Gases>Assignment>Q 6

An ideal gas (monoatomic) at temperature

27 ° C

and pressure

10^{6} N / m^{2}

occupies

10

litre volume. Now if

10 kcal

heat is given to this gas at constant volume then increase in temperature of gas will be

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Gamma Question Bank for Engineering Physics>Chapter 12 - Kinetic Theory of Gases>Assignment>Q 7

Consider two glass spheres of volume $500 {cm}^{3}$ and $100 {cm}^{3}$ which are connected by a narrow tube of negligible volume as shown. Initially pressure inside this apparatus is $70 cm$ of mercury and its temperature is $20 ° C .$ Now if $100 {cm}^{3}$ bulb is kept of $20 ° C$ and $500 {cm}^{3}$ is kept at $100 ° C$ then new pressure inside the apparatus will be,

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Gamma Question Bank for Engineering Physics>Chapter 12 - Kinetic Theory of Gases>Assignment>Q 8

An ideal gas is initially at temperature

T

and volume

V

. Its volume is increased by

Δ V

due to an increase in temperature

Δ T

, pressure remaining constant. The quantity

δ = \frac{Δ V}{(V Δ T)}

varies with temperature as

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Gamma Question Bank for Engineering Physics>Chapter 12 - Kinetic Theory of Gases>Assignment>Q 9

If density

ρ

and pressure

P

of air are related as

\frac{P}{ρ^{k}} = c_{0}

regardless of height

(k, c_{0}

are constant). Then temperature gradient

(\frac{d T}{d h})

is given by [assume ideal gas and molecular mass of gas is

M]

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Gamma Question Bank for Engineering Physics>Chapter 12 - Kinetic Theory of Gases>Assignment>Q 10

The below figure shows the graph of pressure and volume of a gas at two temperatures $T_{1}$ and $T_{2}$ . Which of the following is correct?

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Gamma Question Bank for Engineering Physics>Chapter 12 - Kinetic Theory of Gases>Assignment>Q 11

If at certain temperature

T_{0}

RMS speed of a diatomic gas is

V_{0} .

Now if temperature is made

3 T_{0}

and at this temperature molecules dissociate into atoms then new RMS speed of gas atom will be?

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Gamma Question Bank for Engineering Physics>Chapter 12 - Kinetic Theory of Gases>Assignment>Q 12

2

mole,

3

mole of two ideal gases having adiabatic constant

γ_{1}

and

γ_{2}

respectively are mixed, then

C_{V}

for the mixture will be

The P-V graph is drawn for a given mass of gas at constant temperature. If P and V be the pressure and volume of the gas at a given state, the slope of PV graph at the state is

Important Questions on Kinetic Theory of Gases

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The $P - V$ graph is drawn for a given mass of gas at constant temperature. If $P$ and $V$ be the pressure and volume of the gas at a given state, the slope of $P V$ graph at the state is