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

A cylinder of fixed capacity of 44.8 litres contains helium gas at standard temperature and pressure. The amount of heat needed to raise the temperature of gas in the cylinder by 20.0$$^\circ$$C will be :

(Given gas constant R = 8.3 JK$$-$$1-mol$$-$$1)

A
249 J
B
415 J
C
498 J
D
830 J
2
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
3
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
4
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
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