1
JEE Main 2023 (Online) 11th April Morning Shift
+4
-1

$$1 \mathrm{~kg}$$ of water at $$100^{\circ} \mathrm{C}$$ is converted into steam at $$100^{\circ} \mathrm{C}$$ by boiling at atmospheric pressure. The volume of water changes from $$1.00 \times 10^{-3} \mathrm{~m}^{3}$$ as a liquid to $$1.671 \mathrm{~m}^{3}$$ as steam. The change in internal energy of the system during the process will be

(Given latent heat of vaporisaiton $$=2257 \mathrm{~kJ} / \mathrm{kg}$$, Atmospheric pressure = $$\left.1 \times 10^{5} \mathrm{~Pa}\right)$$

A
+ 2090 kJ
B
$$-$$ 2426 kJ
C
+ 2476 kJ
D
$$-$$ 2090 kJ
2
JEE Main 2023 (Online) 11th April Morning Shift
+4
-1

On a temperature scale '$$\mathrm{X}$$', the boiling point of water is $$65^{\circ} \mathrm{X}$$ and the freezing point is $$-15^{\circ} \mathrm{X}$$. Assume that the $$\mathrm{X}$$ scale is linear. The equivalent temperature corresponding to $$-95^{\circ} \mathrm{X}$$ on the Farenheit scale would be:

A
$$-148^{\circ} \mathrm{F}$$
B
$$-48^{\circ} \mathrm{F}$$
C
$$-63^{\circ} \mathrm{F}$$
D
$$-112^{\circ} \mathrm{F}$$
3
JEE Main 2023 (Online) 11th April Morning Shift
+4
-1

Three vessels of equal volume contain gases at the same temperature and pressure. The first vessel contains neon (monoatomic), the second contains chlorine (diatomic) and third contains uranium hexafloride (polyatomic). Arrange these on the basis of their root mean square speed $$\left(v_{\mathrm{rms}}\right)$$ and choose the correct answer from the options given below:

A
$$\mathrm{v}_{\mathrm{rms}}($$ mono $$)=\mathrm{v}_{\mathrm{rms}}($$ dia $$)=\mathrm{v}_{\mathrm{rms}}($$ poly $$)$$
B
$$\mathrm{v}_{\mathrm{rms}}$$ (mono) $$> \mathrm{v}_{\mathrm{rms}}($$ dia $$) > \mathrm{v}_{\mathrm{rms}}$$ (poly)
C
$$\mathrm{v}_{\mathrm{rms}}$$ (dia) $$< \mathrm{v}_{\mathrm{rms}}$$ (poly) $$< \mathrm{v}_{\text {rms }}$$ (mono)
D
$$\mathrm{v}_{\mathrm{rms}}$$ (mono) $$< \mathrm{v}_{\mathrm{rms}}$$ (dia) $$< \mathrm{v}_{\mathrm{rms}}$$ (poly)
4
JEE Main 2023 (Online) 10th April Evening Shift
+4
-1

A gas mixture consists of 2 moles of oxygen and 4 moles of neon at temperature T. Neglecting all vibrational modes, the total internal energy of the system will be,

A
4RT
B
16RT
C
8RT
D
11RT
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