1
IIT-JEE 2012 Paper 2 Offline
MCQ (Single Correct Answer)
+3
-0.75
Two moles of ideal helium gas are in a rubber balloon at 30oC. The balloon is fully expandable and can be assumed to require no energy in its expansion. The temperature of the gas in the balloon is slowly changed to 35oC. The amount of heat required in raising the temperature is nearly (take R = 8.31 J/mol.K)
A
62 J
B
104 J
C
124 J
D
208 J
2
IIT-JEE 2012 Paper 1 Offline
MCQ (Single Correct Answer)
+3
-0.75
A mixture of 2 moles of helium gas (atomic mass = 4 amu) and 1 mole of argon gas (atomic mass = 40 amu) is kept at 300 K in a container. The ratio of the rms speeds $$\left( {{{{v_{rms}}\left( {helium} \right)} \over {{v_{rms}}\left( {\arg on} \right)}}} \right)$$ is
A
0.32
B
0.45
C
2.24
D
3.16
3
IIT-JEE 2012 Paper 1 Offline
MCQ (Single Correct Answer)
+3
-1

Three very large plates of same area are kept parallel and close to each other. They are considered as ideal black surfaces and have very high thermal conductively. The first and third plates are maintained at temperatures 2T and 3T, respectively. The temperature of the middle (i.e. second) plate under steady state condition is

A
$${\left( {{{65} \over 2}} \right)^{1/4}}T$$
B
$${\left( {{{97} \over 4}} \right)^{1/4}}T$$
C
$${\left( {{{97} \over 2}} \right)^{1/4}}T$$
D
$${(97)^{1/4}}T$$
4
IIT-JEE 2011 Paper 1 Offline
MCQ (Single Correct Answer)
+2
-0.5
5.6 liter of helium gas at STP is adiabatically compressed to 0.7 liter. Taking the initial temperature to be T1, the work done in the process is
A
$${9 \over 8}R{T_1}$$
B
$${3 \over 2}R{T_1}$$
C
$${15 \over 8}R{T_1}$$
D
$${9 \over 2}R{T_1}$$
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