Question

A balloon contains $$1500\,{m^3}$$   of helium at $${27^ \circ }C$$  and $$4$$ atmospheric pressure. The volume of helium at $$ - {3^ \circ }C$$  temperature and $$2$$ atmospheric pressure will,

A. $$1500\,{m^3}$$
B. $$1700\,{m^3}$$
C. $$1900\,{m^3}$$
D. $$2700\,{m^3}$$  
Answer :   $$2700\,{m^3}$$
Solution :
$$\eqalign{ & \frac{{{P_1}\;{V_1}}}{{\;{T_1}}} = \frac{{{P_2}\;{V_2}}}{{\;{T_2}}} \cr & \therefore {V_2} = \frac{{{P_1}\;{V_1}}}{{\;{T_1}}} \times \frac{{{T_2}}}{{{P_2}}} = \frac{{4 \times 1500 \times 270}}{{300 \times 2}} = 2700\,{m^3} \cr} $$

Releted MCQ Question on
Heat and Thermodynamics >> Kinetic Theory of Gases

Releted Question 1

A constant volume gas thermometer works on

A. The Principle of Archimedes
B. Boyle’s Law
C. Pascal’s Law
D. Charle’s Law
View Answer
Releted Question 2

From the following statements concerning ideal gas at any given temperature $$T,$$ select the correct one(s)

A. The co-efficient of volume expansion at constant pressure is the same for all ideal gases
B. The average translational kinetic energy per molecule of oxygen gas is $$3kT, k$$   being Boltzmann constant
C. The mean - free path of molecules increases with increases in the pressure
D. In a gaseous mixture, the average translational kinetic energy of the molecules of each component is different
View Answer
Releted Question 3

The average translational kinetic energy of $${O_2}$$ (relative molar mass 32) molecules at a particular temperature is $$0.048\,eV.$$  The translational kinetic energy of $${N_2}$$ (relative molar mass 28) molecules in $$eV$$ at the same temperature is

A. 0.0015
B. 0.003
C. 0.048
D. 0.768
View Answer
Releted Question 4

A vessel contains 1 mole of $${O_2}$$ gas (relative molar mass 32) at a temperature $$T.$$ The pressure of the gas is $$P.$$ An identical vessel containing one mole of $$He$$  gas (relative molar mass 4) at a temperature $$2\,T$$  has a pressure of

A. $$\frac{P}{8}$$
B. $$P$$
C. $$2\,P$$
D. $$8\,P$$
View Answer

Practice More Releted MCQ Question on
Kinetic Theory of Gases

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Basic PhysicsUnit and MeasurementKinematicsLaws of MotionFrictionUniform Circular MotionImpulseMomentumWork Energy and PowerRotational MotionGravitationMechanical Properties of Solids and Fluids
Heat and ThermodynamicsThermodynamicsThermal ExpansionConductionRadiationCalorimetryKinetic Theory of Gases
Electrostatics and MagnetismElectric ChargesElectric FieldElectric PotentialCapacitors and DielectricsMagnetic Effect of CurrentMagnetic MaterialsElectromagnetic WavesElectric CurrentElectromagnetic InductionAlternating CurrentSemiconductors and Electronic Devices
Optics and WaveRay OpticsWave Optics
Modern PhysicsDual Nature of Matter and RadiationAtoms And NucleiAtoms or Nuclear Fission and FusionRadioactivityModern Physics MiscellaneousSemiconductors and Electronic Devices
Oscillation and Mechanical WavesSimple Harmonic Motion (SHM)Waves