Question

A compressed cylinder of gas contains $$1.50 \times {10^3}g$$   of $${N_2}$$  gas at a pressure of $$2.0 \times {10^7}Pa$$   and a temperature of $${17.1^ \circ }C.$$  What volume of gas has been released into the atmosphere if the final pressure in the cylinder is $$1.80 \times {10^5}\,Pa?$$    Assume ideal behaviour and that the gas temperature is unchanged.

A. 1264$$\,L$$  
B. 126$$\,L$$
C. 12600$$\,L$$
D. 45$$\,L$$
Answer :   1264$$\,L$$
Solution :
$$\eqalign{ & {n_{{N_2}}} = 53.57\,mole \cr & \frac{{{P_1}}}{{{P_2}}} = \frac{{{n_1}}}{{{n_2}}} \cr & {n_2} = \frac{{1.8}}{{200}} = 0.009 \times 53.57 = 0.48213 \cr & {n_{{N_2}}}\,{\text{escape}} = 53.087 \cr & {\text{Volume}} = \frac{{nRT}}{P} = 1264\,L \cr} $$

Releted MCQ Question on
Physical Chemistry >> States of Matter Solid, Liquid and Gas

Releted Question 1

Equal weights of methane and oxygen are mixed in an empty container at $${25^ \circ }C.$$  The fraction of the total pressure exerted by oxygen is

A. $$\frac{1}{3}$$
B. $$\frac{1}{2}$$
C. $$\frac{2}{3}$$
D. $$\frac{1}{3} \times \frac{{273}}{{298}}$$
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Releted Question 2

The temperature at which a real gas obeys the ideal gas laws over a wide range of pressure is

A. Critical temperature
B. Boyle temperature
C. Inversion temperature
D. Reduced temperature
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Releted Question 3

The ratio of root mean square velocity to average velocity of a gas molecule at a particular temperature is

A. 1.086 : 1
B. 1 : 1.086
C. 2 : 1.086
D. 1.086 : 2
View Answer
Releted Question 4

Helium atom is two times heavier than a hydrogen molecule. At $$298 K,$$  the average kinetic energy of a helium atom is

A. two times that of a hydrogen molecule.
B. same as that of a hydrogen molecule.
C. four times that of a hydrogen molecule.
D. half that of a hydrogen molecule.
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States of Matter Solid, Liquid and Gas

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Physical ChemistrySome Basic Concepts in ChemistryStoichiometryStates of Matter Solid, Liquid and GasAtomic StructureChemical ThermodynamicsSolutionsSolid StateSurface ChemistryChemical EquilibriumIonic EquilibriumChemical KineticsRedox ReactionElectrochemistryNuclear Chemistry
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