Thermal Properties of Matter Test

Question 1
1 / -0

The pressure of a gas in a container is 10$$^{-11}$$ pascal at 27$$^o$$C. The number of molecules per unit volume of vessel will be

A
$$6 \times 10^{23} cm^{-3}$$

B
$$2.68 \times 10^{19} cm^{-3}$$

C
$$2.5 \times 10^{6} cm^{-3}$$

D
$$2400 cm^{-3}$$

Question 2
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Equal masses of N$$_2$$ and O$$_2$$ gases are filled in vessels A and B. The volume of vessel B is double of A. The ratio of pressure in vessel A and B will be

A
16 : 7

B
16 : 14

C
32 : 7

D
32 : 28

Question 3
1 / -0

The dimension of universal gas constant R are

A
$$M^2 L^2 T^{-2}$$

B
$$ML^2 T^{-2} \theta^{-1}$$

C
$$M^2 L^2 T^{-2} \theta^{-2}$$

D
$$MLT^{-2} \theta^{-2}$$

Question 4
1 / -0

In outer space there are 10 molecules per cm$$^3$$ on an average and the temperature there is 3K. The average pressure of this light gas is

A
$$10^5 Nm^{-2}$$

B
$$5 \times 10^{-14} Nm^{-2}$$

C
$$0.4 \times 10^{-16} Nm^{-2}$$

D
$$4.14 \times 10^{-16} Nm^{-2}$$

Question 5
1 / -0

A cylinder contains 2kg of air at a pressure of 10$$^5$$Pa. If 2 kg more air is pumped into it, keeping the temperature constant, the pressure will be

A
$$10^{10} Pa$$

B
$$2 \times 10^5 Pa$$

C
$$10^5 Pa$$

D
$$0.5 \times 10^5 Pa$$

Question 6
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One mole of a gas at a pressure 2 Pa and temperature 27$$^o$$C is heated till both pressure and volume are doubled. What is the temperature of the gas?

A
1200 K

B
900 K

C
600 K

D
300 K

Question 7
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Which of the following quantities is zero on an average for the molecules of an ideal gas in equilibrium?

A
Kinetic energy

B
Momentum

C
Density

D
Speed

Question 8
1 / -0

The pressure of a gas filled in a closed vessel increases by 0.4%. When temperature is increases by 1$$^o$$C the initial temperature of the gas is

A
250$$^o$$C

B
250 K

C
250$$^o$$F

D
2500$$^o$$C

Question 9
1 / -0

The temperature of water at the surface of a deep lake is $$2^{\circ}C$$. The temperature expected at the bottom is

A
$$0^{\circ}$$

B
$$2^{\circ}$$

C
$$4^{\circ}$$

D
$$-6^{\circ}$$

Question 10
1 / -0

A closed cubicle box made of perfectly insulating material has walls of thickness $$8$$ cm and the only way for heat to enter and leave the box is through the metal plugs $$A$$ and $$B$$ each of cross section $$12cm^2$$ and length $$8$$ cm fixed in the opposite walls of the box as shown in figure. Outer surface of $$A$$ is kept at $$100^oC$$ while outer surface of $$B$$ is at $$4^oC$$. The thermal conductivity of the material of the plugs is $$0.5cal/s/cm/\space^oC$$. A source of energy generating $$36$$cal/s is enclosed inside the box. The equillibrium temperature of the inner surface of the box (assuming that it is same at all points on the inner surface) is

A
$$38^oC$$

B
$$57^oC$$

C
$$76^oC$$

D
$$85^oC$$

Submit Test

Thermal Propert...

Question 1

$$6 \times 10^{23} cm^{-3}$$

$$2.68 \times 10^{19} cm^{-3}$$

$$2.5 \times 10^{6} cm^{-3}$$

$$2400 cm^{-3}$$

Question 2

16 : 7

16 : 14

32 : 7

32 : 28

Question 3

$$M^2 L^2 T^{-2}$$

$$ML^2 T^{-2} \theta^{-1}$$

$$M^2 L^2 T^{-2} \theta^{-2}$$

$$MLT^{-2} \theta^{-2}$$

Question 4

$$10^5 Nm^{-2}$$

$$5 \times 10^{-14} Nm^{-2}$$

$$0.4 \times 10^{-16} Nm^{-2}$$

$$4.14 \times 10^{-16} Nm^{-2}$$

Question 5

$$10^{10} Pa$$

$$2 \times 10^5 Pa$$

$$10^5 Pa$$

$$0.5 \times 10^5 Pa$$

Question 6

1200 K

900 K

600 K

300 K

Question 7

Kinetic energy

Momentum

Density

Speed

Question 8

250$$^o$$C

250 K

250$$^o$$F

2500$$^o$$C

Question 9

$$0^{\circ}$$

$$2^{\circ}$$

$$4^{\circ}$$

$$-6^{\circ}$$

Question 10

$$38^oC$$

$$57^oC$$

$$76^oC$$

$$85^oC$$

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