(A) Statement-$I$ is correct: The compressibility factor $Z$ is defined as $Z = \frac{V_{m, \text{real}}}{V_{m, \text{ideal}}}$,which represents the r

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Both statement-$I$ and statement-$II$ are correct

(A) Statement-$I$ is correct: The compressibility factor $Z$ is defined as $Z = \frac{V_{m, \text{real}}}{V_{m, \text{ideal}}}$,which represents the ratio of the molar volume of a real gas to that of an ideal gas at the same temperature and pressure.Statement-$II$ is correct: The root mean square $(RMS)$ velocity of a gas is given by the formula $v_{rms} = \sqrt{\frac{3RT}{M}}$. Since $R$ and $M$ are constants for a given gas,$v_{rms} \propto \sqrt{T}$.Therefore,both statements are correct.

Class 11 Chemistry States of Matter Mix Examples- States of Matter

Medium

Two statements are given below.
Statement-$I$: The ratio of the molar volume of a gas to that of an ideal gas at constant temperature and pressure is called the compressibility factor.
Statement-$II$: The $RMS$ velocity of a gas is directly proportional to the square root of $T(K)$.
The correct answer is

AP EAMCET 2024 All AP EAMCET

A
Both statement-$I$ and statement-$II$ are correct
B
Both statement-$I$ and statement-$II$ are not correct
C
Statement-$I$ is correct but statement-$II$ is not correct
D
Statement-$I$ is not correct but statement-$II$ is correct

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Class 11

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Mix Examples- States of Matter

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When equal volumes of helium and neon at same temperature and pressure are mixed,the ratio $C_p: C_V$ of the mixture equals

$A$ $4 : 1$ molar mixture of $He$ and $CH_4$ is kept in a vessel at $20 \ bar$ pressure. Due to a hole in the vessel,the gas mixture leaks out. What is the composition of the mixture effusing out initially?

At a given temperature,the molar mass of gas $A$ is $4$. If it diffuses $3$ times faster than gas $B$,what is the molar mass of gas $B$?

Which one of the following statements is false?

The density of a mixture of $He$ and $O_2$ gases at $27\,^{\circ}C$ and $760\, torr$ pressure is $0.543\, g\, dm^{-3}$. Calculate the percentage by mass of $He$ in the mixture.

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