1
JEE Main 2022 (Online) 29th June Morning Shift
+4
-1

In van der Waal equation $$\left[ {P + {a \over {{V^2}}}} \right]$$ [V $$-$$ b] = RT; P is pressure, V is volume, R is universal gas constant and T is temperature. The ratio of constants $${a \over b}$$ is dimensionally equal to :

A
$${P \over V}$$
B
$${V \over P}$$
C
PV
D
PV3
2
JEE Main 2022 (Online) 28th June Evening Shift
+4
-1

A sample of an ideal gas is taken through the cyclic process ABCA as shown in figure. It absorbs, 40 J of heat during the part AB, no heat during BC and rejects 60 J of heat during CA. A work of 50 J is done on the gas during the part BC. The internal energy of the gas at A is 1560 J. The workdone by the gas during the part CA is :

A
20 J
B
30 J
C
$$-$$30 J
D
$$-$$60 J
3
JEE Main 2022 (Online) 28th June Evening Shift
+4
-1

What will be the effect on the root mean square velocity of oxygen molecules if the temperature is doubled and oxygen molecule dissociates into atomic oxygen?

A
The velocity of atomic oxygen remains same
B
The velocity of atomic oxygen doubles
C
The velocity of atomic oxygen becomes half
D
The velocity of atomic oxygen becomes four times
4
JEE Main 2022 (Online) 28th June Morning Shift
+4
-1

Given below are two statements :

Statement I : When $$\mu$$ amount of an ideal gas undergoes adiabatic change from state (P1, V1, T1) to state (P2, V2, T2), then work done is $$W = {{\mu R({T_2} - {T_1})} \over {1 - \gamma }}$$, where $$\gamma = {{{C_p}} \over {{C_v}}}$$ and R = universal gas constant.

Statement II : In the above case, when work is done on the gas, the temperature of the gas would rise.

Choose the correct answer from the options given below :

A
Both Statement I and Statement II are true.
B
Both Statement I and Statement II are false.
C
Statement I is true but Statement II is false.
D
Statement I is false but Statement II is true.
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