1
IIT-JEE 2008 Paper 2 Offline
+4
-1

Column I contains a list of processes involving expansion of an ideal gas. Match this with Column II describing the thermodynamic change during this process. Indicate your answer by darkening the appropriate bubbles of the 4 $$\times$$ 4 matrix given in the ORS.

Column I Column II
(A) An insulated container has two chambers separated by a valve. Chamber I contains an ideal gas and the Chamber II has vacuum. The valve is opened. (P) The temperature of the gas decreases
(B) An ideal monatomic gas expands to twice its original volume such that its pressure P $$\propto$$ $$\frac{1}{\mathrm{V}^2}$$, where V is the volume of the gas (Q) The temperature of the gas increase or remains constant.
(C) An ideal monoatomic gas expands to twice its original volume such that its pressure P $$\propto$$ $$\frac{1}{\mathrm{V}^{4/3}}$$, where V is its volume (R) The gas loses heat
(D) An ideal monoatomic gas expands such that its pressure P and volume V follows the behaviour shown in the graph (S) The gas gains heat

A
A $$\to$$ (P); B $$\to$$ (P, Q); C $$\to$$ (R, S); D $$\to$$ (P, R)
B
A $$\to$$ (P); B $$\to$$ (R, S); C $$\to$$ (P, Q); D $$\to$$ (Q, S)
C
A $$\to$$ (Q); B $$\to$$ (R, S); C $$\to$$ (P, S); D $$\to$$ (P, R)
D
A $$\to$$ (Q); B $$\to$$ (P, Q); C $$\to$$ (P, S); D $$\to$$ (Q, S)
2
IIT-JEE 2008 Paper 1 Offline
+3
-1

An ideal gas is expanding such that PT$$^2$$ = constant. The coefficient of volume expansion of the gas is

A
$$\frac{1}{\mathrm{T}}$$
B
$$\frac{2}{\mathrm{T}}$$
C
$$\frac{3}{\mathrm{T}}$$
D
$$\frac{4}{\mathrm{T}}$$
3
IIT-JEE 2007 Paper 2 Offline
+3
-1

STATEMENT 1

The total translational kinetic energy of all the molecules of a given mass of an ideal gas is 1.5 times the product of its pressure and its volume.

Because

STATEMENT 2

The molecules of a gas collide with each other and the velocities of the molecules change due to the collision.

A
Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-1.
B
Statement-1 is True, Statement-2 is True; Statement-2 is NOT a correct for Statement-1.
C
Statement-1 is True, Statement-2 is False.
D
Statement-1 is False, Statement-2 is True.
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