cannot transfer neither energy nor mass to or from the surroundings.

is a specified region where transfer of energy and mass takes place

is a region of constant mass and only energy is allowed through the closed boundaries

is one in which mass within the system is not necessarily constant.

Physics - Kinetic Theory Gases - Quiz-1

The variation of density (p) of gas with its absolute temperature (T) at constant pressure is best represented by the graph

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2.
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2
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4.
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4

An isolated system-

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is a specified region where transfer of energy and mass takes place
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is a region of constant mass and only energy is allowed through the closed boundaries
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is one in which mass within the system is not necessarily constant.
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cannot transfer neither energy nor mass to or from the surroundings.

If the mean free path of atoms is doubled then the pressure of the gas will become:

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P/4
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P/2
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P/8
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P

A diatomic molecule has how many degrees of freedom-

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3
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4
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5
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6

A thermally insulated piston divides a container into two compartments. Volume, temperature, and pressure in the right compartment are 2V, T and 2P, while in the left compartment the respective values are V, T and P. If the piston can slide freely, then in the final equilibrium position, the volume of the right-hand compartment will be :

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V
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$\frac{3 V}{5}$
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$\frac{9 V}{4}$
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$\frac{12 V}{5}$

The graph which represents the variation of mean kinetic energy of molecules with temperature $t ° C$ is ?

$V_{r m s}, V_{a v}, V_{m p}$ are root mean square, average and most probable speeds of molecules of a gas obeying Maxwellian velocity distribution. Which of the following statements is correct?

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$V_{r m s} < V_{a v} < V_{m p}$
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$V_{r m s} > V_{a v} > V_{m p}$
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$V_{r m s} < V_{a v} > V_{m p}$
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$V_{a v g} > V_{r m s} < V_{m p}$

Gas is found to obey the law $P^{2} V$ = constant. The initial temperature and volume are $T_{0}$ and $V_{0}$ . If the gas expands to a volume $3 V_{0}$ , its final temperature becomes:

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$\frac{T_{0}}{3}$
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$\frac{T_{0}}{\sqrt{3}}$
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$3 T_{0}$
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None of these

For a gas, the r.m.s speed at 800 K is:

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Four times the value at 200 K
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Half the value at 200 K
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Twice the value at 200 K
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Same as at 200 K

The average kinetic energy of a helium atom at $30 ° C$ is: [MP PMT 2004]

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Less than 1 eV
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A few KeV
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50-60 eV
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13.6 eV

Choose the correct option related to the specific heat at constant volume $C_{V}$ -

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$C_{V} = \frac{1}{2} f R$
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$C_{V} = \frac{R}{γ - 1}$
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$C_{V} = \frac{C_{P}}{γ}$
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All of these

The curve between absolute temperature and ${v_{r m s}}^{2}$ is:

Five molecules of a gas have speeds, 1, 2, 3, 4 and 5 km $s^{- 1}$ . The value of the root mean square speed of the gas molecules is:

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3 km $s^{- 1}$
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$\sqrt{11}$ km $s^{- 1}$
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$\frac{1}{2} \sqrt{π}$ km $s^{- 1}$
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3.5 km $s^{- 1}$

The average velocity of an ideal gas molecule is: [OJEE 2010]

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proportional to $\sqrt{T}$
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proportional to $T^{2}$
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proportional to $T^{3}$
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zero

For a gas, $\frac{R}{C_{V}} = 0.67$ . This gas is made up of molecules which are: [JIPMER 2001, 02]

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Diatomic
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Mixture of diatomic and polyatomic molecules
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Monoatomic
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Polyatomic

At constant temperature, on increasing the pressure of a gas by 5% , its volume will decrease by:

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5%
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5.26 %
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4.26 %
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4.76 %

At what temperature is the root mean square speed of molecules of hydrogen twice as that at STP?

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273 K
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546 K
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819 K
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1092 K

At what temperature, is the root mean square velocity of gaseous hydrogen molecules equal to that of oxygen molecules at 47 $°$ C:[MP PET 1997, 2000; RPET 1999; AIEEE 2002; J & K CET 2004; Kerala PET 2010]

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20 K
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80 K
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- 73 K
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3 K

The average kinetic energy of a gas molecule can be determined by knowing: [RPET 2000, MP PET 2010]

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The number of molecules in the gas
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The pressure of the gas only
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The temperature of the gas only
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None of the above is enough by itself

Volume, pressure, and temperature of an ideal gas are V, P, and T respectively. If the mass of its molecule is m, then its density is [k=Boltzmann's constant]

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mkT
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$\frac{P}{k T}$
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$\frac{P}{k T V}$
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$\frac{P m}{k T}$

One liter of gas A and two liters of gas B, both having the same temperature 100 $°$ C and the same pressure 2.5 bar will have the ratio of average kinetic energies of their molecules as:

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1:1
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1:2
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1:4
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4:1

On 0 $°$ C, the pressure measured by the barometer is 760 mm. What will be pressure at 100 $°$ C? [AFMC 2002]

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760 mm
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730 mm
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780 mm
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None of these

By what percentage, should the pressure of a given mass of gas be increased, so as to decrease its volume by 10% at a constant temperature?

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5%
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7.2 %
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12.5%
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11.1%

In the adjacent V-T diagram what is the relation between $P_{1} a n d P_{2}$ ?

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$P_{2} = P_{1}$
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$P_{2} > P_{1}$
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$P_{2} < P_{1}$
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cannot be predicated

Which one of the following graph is correct at constant pressure?

The root-mean-square velocity of the molecules in a sample of helium is $\frac{5}{7} t h$ of that of the molecules in a sample of hydrogen. If the temperature of the hydrogen gas is 0 $°$ C, that of the helium sample is about:

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0 $°$ C
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5.6 $°$ C
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273 $°$ C
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100 $°$ C

The kinetic energy of one gram molecule of a gas at standard temperature and pressure is: (R = 8.31 J/mol-K)

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0.56 $\times 10^{4} J$
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$1.3 \times 10^{2} J$
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$2.7 \times 10^{2} J$
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$3.4 \times 10^{3} J$

Gases exert pressure on the walls of containing vessel because the gas molecules:

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Possess momentum
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collide with each other
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have finite volume
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obey gas laws

The equation of state for 5 g of oxygen at a pressure P and temperature T, when occupying a volume V, will be: (where R is the constant)

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PV = 5RT
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PV = $(\frac{5}{2}) R T$
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PV = $(\frac{5}{16}) R T$
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PV = $(\frac{5}{32}) R T$

The equation $(p + \frac{a}{v^{2}}) (v - b) = R T$ is known as:

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Perfect gas equation
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Joule Thomson's equation
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Vander Waal's equation
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Maxwell's equation

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Practice Physics Quiz Questions and Answers

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Practice Physics Quiz Questions and Answers

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