Kinetic Theory Test

Result

Kinetic Theory Test - 86

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Weekly Quiz Competition

Question 1
1 / -0

When 1 mole of a monoatomic gas expands at constant pressure the ratio of the heat supplied that increases the internal energy of the gas and that used in expansion is

A
$$ \frac{2}{3} $$

B
$$ \frac{3}{2} $$

C
$$0$$

D
$$ \infty $$

Solution
Question 2
1 / -0

One mole of a perfect gas in a cylinder fitted with a piston has a pressure P, volume V and temperature is increased by 1 K keeping pressure constant , the increase in volume is

A
$$\dfrac { 2V }{ 273 } $$

B
$$\dfrac { 2V }{ 91 }$$

C
$$\dfrac { V }{ 273 } $$

D
V

Solution
Question 3
1 / -0

If distance between the gas molecules is doubled on constant temperature , then pressure .

A
$$\dfrac{P}{16}$$

B
$$\dfrac{P}{8}$$

C
$$\dfrac{P}{4}$$

D
$$\dfrac{P}{2}$$

Solution
Question 4
1 / -0

A vessel of volume $$ V=5.0 $$ liters contains 1.4 $$ \mathrm{g} $$ of nitrogen at temperature $$ T=1800 \mathrm{K} $$ . Find the pressure of the gas if 30$$ \% $$ of its molecules are dissociated into atoms at this temperature.

A
$$ 1.94 \times 10^{2} N / m^{2} $$

B
$$ 1.94 \times 10^{3} N / m^{2} $$

C
$$ 2.84 \times 10^{2} N / m^{2} $$

D
None of these

Solution
Question 5
1 / -0

A vessel of volume $$5000 { cm }^{ 3 }$$ contains (1/20) mole of molecular nitrogen at 1800 K. If 30% of the molecules are now dissociated the pressure inside the vessel in Pa will be-

A
$$1.49\times { 10 }^{ 5 }$$

B
$$1.94\times { 10 }^{ 5 }$$

C
$$2.25\times { 10 }^{ 5 }$$

D
$$3.78\times { 10 }^{ 5 }$$

Solution
Question 6
1 / -0

The mean kinetic energy of one mole of gas per degree of freedom (on the basis of kinetic theory of gases) is:

A
$$

\frac { 1 } { 2 } k T

$$

B
$$

\frac { 3 } { 2 } k T

$$

C
$$

\frac { 3 } { 2 } R T

$$

D
$$

\frac { 1 } { 2 } R T

$$

Solution
Question 7
1 / -0

A balloon weighting 50kg is filled with 685.2kg of helium at 1 atm pressure and at $${ 25 }^{ o }$$C. What will be its displaced 51087 kg of air ?

A
4372.8 kg

B
43.728 kg

C
4843.2 kg

D
None
Question 8
1 / -0

Two containers $$A$$ and $$B$$ contain molecular gas at same temperature with masses of molecules are $${ m }_{ { { A } } }$$ and $${ m }_{ { { B } } }$$ then relation of momentum $${ P }_{ { A } }$$ and $${ P }_{ { { B } } }$$ will be

A
$${ P }_{ { { A } } }={ P }_{ { { B } } }$$

B
$$P _ { A } = \left( \dfrac { m _ { A } } { m _ { B } } \right) ^ { 1 / 2 } P _ { B }$$

C
$$P _ { A } = \left( \dfrac { m _ { B } } { m _ { A } } \right) ^ { 1 / 2 } P _ { B }$$

D
$$P _ { A } = \left( \dfrac { m _ { A } } { m _ { B } } \right) P _ { B }$$

Solution
Question 9
1 / -0

The mass of glucose that should be dissolved in 100 g of water in order to produce same lowering of vapour pressure as is produced by dissolving 1 g of urea (mol. Mass = 60) in 50 g of water is : (Assume dilute solution in both cases)

A
1 g

B
2 g

C
6 g

D
12 g

Solution
Question 10
1 / -0

At what temperature does the average translational kinetic energy of a molecule in a gas become equal to kinetic energy of an electron accelerated from rest through a potential difference of $$1$$ volt? ($$k=1.38\times{!0}^{-23}J/k$$)

A
$$3770K$$

B
$$7370K$$

C
$$7730K$$

D
$$7330K$$

Solution