Gaseous States Test

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Gaseous States Test - 12

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Weekly Quiz Competition

Question 1
1 / -0

A certain sample of gas has a volume of 0.2 litres measured at 1 atm pressure and 0^oC. At the same pressure but at 273^oC, its volume will be:

A
0.4 litre

B
0.8 litre

C
27.8 litre

D
55.6 litre

Solution

Using combined gas law:
Question 2
1 / -0

The rate of diffusion of a gas having molecular weight just double of nitrogen gas is 56 ml per sec. The rate of diffusion of nitrogen gas will be:

A
79.19ml/sec

B
112ml/sec

C
56ml/sec

D
90ml/sec

Solution

Mass of nitrogen gas (m₁) = M

Mass of another gas (m₂) = 2M

Rate of diffusion of nitrogen gas (r₁) = r = ?

Rate of diffusion of another gas (r₂) = 56mL/sec

Graham's law states that the rate of diffusion or of effusion of a gas is inversely proportional to the square root of its molecular weight.
Question 3
1 / -0

The volume of a gas is 100 ml at 100^∘C . If the pressure is kept constant, at what temperature will the gas have a volume of 200ml?

A
50^∘C

B
473^∘C

C
446^∘C

D
200^∘C

Solution
Question 4
1 / -0

At what temperature in the Celsius scale, V(volume) of a certain mass of gas at 27⁰C will doubled keeping the pressure constant?

A
54°C

B
327°C

C
427°C

D
527°C

Solution
Question 5
1 / -0

A sample of O₂gas is collected over water at 23^oC at a barometric pressure of 751mm Hg (vapour pressure of water at 23^oC is 21mm Hg). The partial pressure of O₂ gas in the sample collected is:

A
21 mm Hg

B
751 mm Hg

C
0.96 atm

D
1.02 atm

Solution

Using the Dalton's law

P (Total) = Poxygen +Pwater

The vapor pressure of water is 21mmHg

751mmHg = Poxygen + 21 mmHg

Poxygen = 751 mmHg - 21 mmHg

Poxygen =730 mmHg

Convert the partial pressure of oxygen in to atmosphere

(730 mmHg) (1 atm / 760 mmHg) = 0.96 atm
Question 6
1 / -0

One litre of a gas weights 2g at 300 K and 1 atm. pressure. If the pressure is made 0.75 atm, at which temperature will one litre of the same gas weigh 1g

A
600K

B
800K

C
900K

D
450K

Solution
Question 7
1 / -0

At 0^∘C and one atm pressure, a gas occupies 100 cc. If the pressure is increased to one and a half time and temperature is increased by one-third of absolute temperature, then final volume of the gas will be :

A
80 cc

B
88.9 cc

C
66.7 cc

D
100 cc

Solution

Initial temperature T₁= 0^oC = 273.15K

Initial pressure P₁ = 1atm

Initial volume V₁ = 100cc

V₂ = 88.9cc
Question 8
1 / -0

A gas of volume 100 cc is kept in a vessel at pressure 10.4 Pa maintained at temperature 24^∘C. Now, if the pressure is increased to 105 Pa, keeping the temperature constant, then the volume of the gas becomes:

A
10 cc

B
100 cc

C
1 cc

D
1000 cc

Solution

V₁ = 100 cc.

P₁= 10.4Pa

V₂ = ?

P₂ = 105Pa

P₁V₁ = P₂V₂
Question 9
1 / -0

The temperature at which RMS velocity of SO₂ molecules is half that of helium molecules at 300K is:

A
150K

B
600K

C
900K

D
1200K

Solution
Question 10
1 / -0

The volume of 1 g each of methane (CH₄), ethane (C₂H₆), propane (C₃H₈) and butane (C₄H₁₀) was measured at 350 K and 1 atm. What is the volume of butane ?

A
495 cm³

B
600 cm³

C
900 cm³

D
1700 cm³

Solution

1 g CH₄, C₂H₆ C₃H₈ C₄H₁₀

T = 350 K, P = 1 atm

1 × V = 1/58 × 0.0821 × 350

V = 0.495 L

V = 495cm³