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Rate of effusion of a gas through a fine hole in a container placed in vaccum is given by (Notation have their usual meaning)

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Important Questions on States of Matter: Gases and Liquids

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The ratio of rates of diffusion of oxygen and an unknown gas is 1: 4. The unknown gas is
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Two gases A and B are released from the two ends of a tunnel of length 100 m. A travels 40 min, before meeting the gas B in the tunnel. If the molecular weight of B is 18 , what is the molecular weight of A ?
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At same temperature and pressure, the rate of diffusion of gas 'X' is 33 times that of a gaseous hydrocarbon of molar mass 54 g mol-1. The molar mass of X in g mol-1 is
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Sulphur dioxide and oxygen were allowed​ to diffuse through a porous partition. 20 dm3 of SO2 diffuses through the porous partition in 60 seconds. The volume of O2 in dm3 which diffuses under the similar condition in 30 seconds will be (atomic mass of sulphur= 32 u);
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A specific volume of H2 requires 24 s to diffuse out of a container. The time required by an equal volume of O2 to diffuse out under identical conditions, is
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The rate of diffusion of methane at a given temperature is twice that of gas X. The molecular weight of gas X is
HARD
10 litre cylinder contains equal volumes of H2 and He. If the mixture is allowed to diffuse from an opening, estimate the percent composition of the output gas. (Assume ideal behaviour of gas mixture)
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Diffusion of CH4 (g) and O2 (g) occurs under similar conditions, then the ratio of their rates of diffusion is
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According to Graham's Law, the rate of diffusion of CO, O2, N2 and CO2 follows the order:
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Equal moles of hydrogen and oxygen gases are placed in a container with a pin-hole through which both can escape. What fraction of the oxygen escape in the time required for one-half of the hydrogen to escape?
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Diffusion of helium gas is four times faster than
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Pressure in a bulb dropped from 2000 to 1500 mm in 47 minute when the contained oxygen leaked through a small hole. The bulb was then completely evacuated. A mixture of oxygen and another gas of molecular weight 79 in molar ratio 1:1 at a total pressure of 4000 mm was introduced. Find the molar ratio of two gases remaining in the bulb after a period of 74 minute.
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A gaseous compound X contained 44.4% C , 51.9% N and 3.7% H. Under like conditions 30 cm3 of X diffused through a pinhole in 25 sec and the same volume of H2 diffused in 4.81 sec. The molecular formula of X is
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At what temperature will be rate of effusion of N2 be 1.625 times the rate of effusion of SO2 at 5000C ?
HARD
A lecture  room contains 50 rows of seats - numbered 1  through 50 from front to back. Ammonia is released from the front of the room at the same instant that hydrogen chloride gas is released from the back. Assuming Graham's  law of diffusion, over which row of students will a white cloud of ammonium chloride from?  (MW:  NH3 = 17.0;  HCl = 36.5, NH4 Cl = 53.5 g/mol)
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Calculate the relative rate of effusion of O2 to CH4 through a container containing O2 and CH4 in 3:2 mass ratio.
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The rate of diffusion of O2 and H2 at same P and T are in the ratio:
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The ratio of rates of effusion of hydrogen and deuterium under similar conditions is:
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A given volume of ozonised oxygen ( Containing 60% oxygen by volume) required 220 sec to effuse which an equal volume of oxygen took 200 sec only under the conditions. If density of O2 is 1.6 g/L then find density of O3 .