Gaseous State Test

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Gaseous State Test - 13

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Question 1
4 / -1

A cylinder of capacity 20 litres is filled with H₂ gas. The total average kinetic energy of translatory motion of its molecules is 1.5×10⁵J. The pressure of hydrogen in the cylinder is:

A

B

C

D

Solution

Kinetic energy E = 1.5 × 10⁵J, volume V = 20 litre

= 20 × 10^-3 m³ = 20×10^-3m³
Question 2
4 / -1

A gas at a certain volume and temperature has pressure 75 cm. If the mass of the gas is doubled at the same volume and temperature, its new pressure is:

A
37.5 cm

B
75 cm

C
150 cm

D
300 cm

Solution

At constant volume and temperature, if the mass of the gas is doubled then pressure will become twice.
Question 3
4 / -1

If 20 cm³ gas at 1 atm. is expanded to 50 cm³ at constant T, then what is the final pressure:

A
20 × 1/50

B
50 × 1/20

C
1 × 1/20 × 50

D
None of these

Solution
Question 4
4 / -1

400 cm³ of oxygen a 27°C were cooled to –3°C without change in pressure. The contraction in volume will be:

A
40 cm³

B
30 cm³

C
44.4 cm³

D
360 cm³

Solution
Question 5
4 / -1

How many moles of He gas occupy 22.4 litres at 30°C and one atmospheric pressure?

A
0.90

B
1.11

C
0.11

D
1.0

Solution
Question 6
4 / -1

16 g of oxygen and 3 g of hydrogen are mixed and kept at 760 mm pressure and 0°C. The total volume occupied by the mixture will be nearly:

A
22.4 litres

B
33.6 litres

C
448 litres

D
44800 ml

Solution

n of O₂ = 16/32 = 1/2
Question 7
4 / -1

At room temperature, the rms speed of the molecules of certain diatomic gas is found to be 1930 m/s. The gas is:

A
H₂

B
F₂

C
O₂

D
CI₂

Solution

Root means square velocity
Question 8
4 / -1

Cooking gas containers are kept in a lorry moving with uniform speed. The temperature of the gas molecules inside will:

A
Increase

B
Decrease

C
Remain same

D
Decrease for some, while increase for others

Solution

If a lorry is moving with constant velocity then the v_rms of gas molecule inside the container will not changeand we know that So temperature remains same.
Question 9
4 / -1

The speeds of 5 molecules of a gas (in arbitrary units) are as follows: 2, 3, 4, 5, 6. The root mean square speed for these molecules is:

A
2.91

B
3.52

C
4.00

D
4.24

Solution
Question 10
4 / -1

The molecules of a given mass of a gas have a rms velocity of 200m/sec at 27°C and 1.0 × 10⁵ N/m² pressure. When the temperature is 127°C and pressure is 0.5×10⁵N / m² , the rms velocity in m/sec will be:

A

B

C

D
None of these

Solution

Change in pressure will not affect the rms velocity of molecules. So we will calculate only the effect of temperature.