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QUESTION: 1

At constant temperature, in a given mass of an ideal gas -

Solution:

n,T → const

PV = const

QUESTION: 2

Three flasks of equal volumes contain CH_{4}, CO_{2} and Cl_{2} gases respectively. They will contain equal number of molecules if -

Solution:

n → constant

v → fixed

∴ P & T→ const

QUESTION: 3

A certain mass of a gas occupies a volume of 2 litres at STP. Keeping the pressure constant at what temperature would the gas occupy a volume of 4 litres -

Solution:

V = 2 litre

QUESTION: 4

If 500 ml of a gas 'A' at 1000 torr and 1000 ml of gas B at 800 torr are placed in a 2L container, the final pressure will be-

Solution:

QUESTION: 5

Two flasks A and B of 500 ml each are respectively filled with O_{2} and SO_{2} at 300 K and 1 atm. pressure. The flasks will contain-

Solution:

n = const.

no of molecules = const

same number of molecules

QUESTION: 6

In the gas equation PV = nRT, the value of universal gas constant would depend only on -

Solution:

R is depend upon unit of measurement

QUESTION: 7

A 0.5 dm^{3} flask contains gas 'A' and 1 dm^{3} flask contains gas 'B' at the same temperature. If density of A = 3.0 gm dm^{-3} and that of B = 1.5 gm dm^{-3} and the molar mass of A = 1/2 of B, then the ratio of pressure exerted by gases is-

Solution:

QUESTION: 8

When the pressure of 5L of N_{2} is doubled and its temperature is raised from 300K to 600K, the final volume of the gas would be-

Solution:

PV = nRT

QUESTION: 9

If the pressure of a gas contained in a closed vessel in increased by 0.4% when heated by 1°C its initial temperature must be :

Solution:

QUESTION: 10

A thin ballon filled with air at 47°C has a volume of 3 litre. If on placing it in a cooled room its volume becomes 2.7 litre, the temperature of room is :

Solution:

QUESTION: 11

If a mixture containing 3 moles of hydrogen and 1 mole of nitrogen is converted completely into ammonia, the ratio of initial and final volume under the same temperature and pressure would be:

Solution:

QUESTION: 12

SO_{2} at STP contained in a flask was repleced by O_{2} under identical conditions of pressure, temperature and volume. Then the weight of O_{2} will be ______ SO_{2}.

Solution:

QUESTION: 13

Assuming that O_{2} molecule is spherical in shape with radius 2Å, the percentage of the volume of O_{2} molecules to the total volume of gas at S.T.P. is :

Solution:

QUESTION: 14

Two flasks of equal volume are connected by a narrow tube (of negligible volume) all at 27°C and contain 0.70 mole of H_{2} at 0.5 atm. One of the flask is then immersed into a bath kept at 127°C, while the other remains at 27°C. The final pressure in each flask is :

Solution:

∴ n_{1} +n_{2} = 0.7 moles (1)

P,V = const.

n_{1}T_{1} = n_{2}T_{2}

n1 = 0.4 & n2 = 0.3

I_{container} PV = n_{1}RT_{1} (3)

II_{container} PV = n_{2}RT_{2} (4)

using (3) & (4)

Final pressure = 0.5714 atm

QUESTION: 15

Two flasks of equal volume are connected by a narrow tube (of negligible volume) all at 27°C and contain 0.70 moles of H_{2} at 0.5 atm. One of the flask is then immersed into a bath kept at 127° C, while the other remains at 27°C . The number of moles of H_{2} in flask 1 and flask 2 are:

Solution:

P,V = const

n_{1}T_{1} = n_{2}T_{2}

QUESTION: 16

A gas is heated from 0°C to 100°C at 0.1 atm pressure .If the initial volume of the gas is 10.0 l, its final volume would be :

Solution:

QUESTION: 17

Under what conditions will a pure sample of an ideal gas not only exhibit a pressure of 1 atm but also a concentration of 1 mol litre^{-1}. [R = 0.0892 litre atm mol^{-1} K^{-1}]

Solution:

QUESTION: 18

A and B are two identical vessels. A contains 15 g ethane at 1atm and 298K. The vessel B contains 75 g of a gas X_{2} at same temperature and pressure. The vapour density of X_{2} is :

Solution:

QUESTION: 19

The density of neon will be highest at :

Solution:

PV = nRT

QUESTION: 20

A 0.5 dm^{3} flask contains gas A and 1 dm^{3} flask contains gas B at the same temperature. If density of A = 3 g/dm^{3} and that of B = 1.5 g/dm^{3 }and the molar mass of A = 1/2 of B, the ratio of pressure exerted by gases is :

Solution:

QUESTION: 21

A cylinder is filled with a gaseous mixture containing equal masses of CO and N_{2}. The partial pressure ratio is:

Solution:

QUESTION: 22

A gas X diffuses three times faster than another gas Y the ratio of their densities i.e., D_{x} : D_{y} is-

Solution:

Here we use Graham's law of diffusion.

Formula :

Let the rate of gas Y be r_{1}, then the rate of gas X will be 3r_{1}

Let the density of X and Y be Dx and Dy respectively then substituting in the formula we have:

The ratio is thus 1:9

QUESTION: 23

At STP, a container has 1 mole of Ar, 2 moles of CO_{2}, 3 moles of O_{2} and 4 moles of N_{2}. Without changing the total pressure if one mole of O_{2} is removed, the partial pressure of O_{2} :

Solution:

⇒ 26 %

Partial pressure of O_{2} is changed by about 26%

QUESTION: 24

Equal weights of ethane & hydrogen are mixed in an empty container at 25°C, the fraction of the total pressure exerted by hydrogen is :

Solution:

QUESTION: 25

A mixture of hydrogen and oxygen at one bar pressure contains 20% by weight of hydrogen. Partical presure of hydrogen will be :

Solution:

QUESTION: 26

A compound exists in the gaseous phase both as monomer (A) and dimer (A_{2}). The atomic mass of A is 48 and molecular mass of A_{2} is 96. ln an experiment 96 g of the compound was confined in a vessel of volume 33.6 litre and heated to 237°C. The pressure developed if the compound exists as dimer to the extent of 50% by weight under these conditions will be :

Solution:

W_{A} = 48 gm

W_{A2} → 48 gm

PV = nRT

P × 33.6 = (n_{A} + n_{A2}) RT

QUESTION: 27

Three footballs are respectively filled with nitrogen, hydrogen and helium. If the leaking of the gas occurs with time from the filling hole, then the ratio of the rate of leaking of gases () from three footballs (in equal time interval) is :

Solution:

QUESTION: 28

The rates of diffusion of SO_{3}, CO_{2}, PCl_{3} and SO_{2} are in the following order-

Solution:

QUESTION: 29

20 ℓ of SO_{2}, diffuses through a porous partition in 60 seconds. Volume of O_{2} diffuse under similar conditions in 30 seconds will be :

Solution:

QUESTION: 30

See the figure :

The valves of X and Y opened simultaneously. The white fumes of NH_{4}Cl will first form at :

Solution:

According to Graham law of diffusion, rate is inversely proportional to root of molar mass.

Molar mass_{NH3} =17 and Molar mass_{HCl }=36.5.

Molar Mass of HCl is more than NH_{3}, so it rate /speed is less.

So NH_{4}Cl is formed at C because HCl cover less distance and NH_{3} travel faster and reach at C.

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