 JEE Mains Previous Years Questions with Solutions

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1

AIEEE 2003

According to the kinetic theory of gases, in an ideal gas, between two successive collisions of a gas molecule travels
A
in a wavy path
B
in a straight line path
C
with an accelerated velocity
D
in a circular path

Explanation

According to kinetic theory the gas molecules are in a state of constant rapid motion in all possible directions colloiding in a random manner with one another and with the walls of the container and between two successive collisions molecules travel in a straight line path but show haphazard motion due to collisions.
2

AIEEE 2002

Kinetic theory of gases proves
A
only Boyle's law
B
only Charle's law
C
D
All of these

Explanation

Kinetic theory of gases proves all the given gas laws.
3

AIEEE 2002

Value of gas constant R is
A
0.082 litre atm
B
0.987 cal mol-1 K-1
C
8.3 J mol-1 K-1
D
83 erg mol-1 K-1

Explanation

Value of gas constant

$\left( R \right) = 0.0821L\,atm\,{K^{ - 1}}\,mo{l^{ - 1}}$

$= 8.314 \times {10^7}\,\,ergs\,{K^{ - 1}}\,mo{l^{ - 1}}$

$= 8.314J{K^{ - 1}}\,mo{l^{ - 1}}$

$= 1.987\,cal\,{K^{ - 1}}\,mo{l^{ - 1}}$
4

AIEEE 2002

For an ideal gas, number of moles per litre in terms of its pressure P, gas constant R and temperature T is
A
PT/R
B
PRT
C
P/RT
D
RT/P

Explanation

$PV = nRT\,\,$ (number of moles $= n/V$)

$\therefore$ $\,\,\,n/V = P/RT.$