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JEE Mains | PYQ

At \( 600\,\mathrm{K} \), the root mean square (rms) speed of gas \( X \) (molar mass \( = 40 \)) is equal to the most probable speed of the gas \( Y \) at \( 90\,\mathrm{K} \). The molar mass of gas \( Y \) is _____ \( \mathrm{g\,mol^{-1}} \). (Nearest integer)

Three bulbs are filled with \( \mathrm{CH_4} \), \( \mathrm{CO_2} \) and \( \mathrm{Ne} \) as shown in the picture. The bulbs are connected through pipes of zero volume. When the stopcocks are opened and the temperature is kept constant throughout, the pressure of the system is found to be ________ \( \text{atm} \). (Nearest integer)

At constant temperature, a gas is at a pressure of \( 940.3 \, \text{mm Hg} \). The pressure at which its volume decreases by \( 40\% \) is ________ \( \text{mm Hg} \). (Nearest integer)

Based on the given figure, the number of correct statement/s is/are ________.

A. Surface tension is the outcome of equal attractive and repulsive forces acting on the liquid molecule in bulk.
B. Surface tension is due to uneven forces acting on the molecules present on the surface.
C. The molecule in the bulk can never come to the liquid surface.
D. The molecules on the surface are responsible for vapour pressure if the system is a closed system.

A certain quantity of real gas occupies a volume of \( 0.15 \, \text{dm}^3 \) at \( 100 \, \text{atm} \) and \( 500 \, \text{K} \) when its compressibility factor is \( 1.07 \). Its volume at \( 300 \, \text{atm} \) and \( 300 \, \text{K} \) (When its compressibility factor is \( 1.4 \)) is ______ \( \times 10^{-4} \, \text{dm}^3 \) (nearest integer)