1
JEE Main 2022 (Online) 25th July Morning Shift
+4
-1

A certain amount of gas of volume $$\mathrm{V}$$ at $$27^{\circ} \mathrm{C}$$ temperature and pressure $$2 \times 10^{7} \mathrm{Nm}^{-2}$$ expands isothermally until its volume gets doubled. Later it expands adiabatically until its volume gets redoubled. The final pressure of the gas will be (Use $$\gamma=1.5)$$ :

A
$$3.536 \times 10^{5} \mathrm{~Pa}$$
B
$$3.536 \times 10^{6} \mathrm{~Pa}$$
C
$$1.25 \times 10^{6} \mathrm{~Pa}$$
D
$$1.25 \times 10^{5} \mathrm{~Pa}$$
2
JEE Main 2022 (Online) 25th July Morning Shift
+4
-1

Following statements are given :

(A) The average kinetic energy of a gas molecule decreases when the temperature is reduced.

(B) The average kinetic energy of a gas molecule increases with increase in pressure at constant temperature.

(C) The average kinetic energy of a gas molecule decreases with increase in volume.

(D) Pressure of a gas increases with increase in temperature at constant pressure.

(E) The volume of gas decreases with increase in temperature.

Choose the correct answer from the options given below :

A
(A) and (D) only
B
(A), (B) and (D) only
C
(B) and (D) only
D
(A), (B) and (E) only
3
JEE Main 2022 (Online) 30th June Morning Shift
+4
-1

The pressure of the gas in a constant volume gas thermometer is 100 cm of mercury when placed in melting ice at 1 atm. When the bulb is placed in a liquid, the pressure becomes 180 cm of mercury. Temperature of the liquid is :

(Given 0$$^\circ$$C = 273 K)

A
300 K
B
400 K
C
600 K
D
491 K
4
JEE Main 2022 (Online) 30th June Morning Shift
+4
-1

A sample of monoatomic gas is taken at initial pressure of 75 kPa. The volume of the gas is then compressed from 1200 cm3 to 150 cm3 adiabatically. In this process, the value of workdone on the gas will be :

A
79 J
B
405 J
C
4050 J
D
9590 J
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