(A) The Avogadro number is defined as $6.022 \times 10^{23} \text{ mol}^{-1}$.Option $A$ states it as $6.02 \times 10^{21}$,which is incorrect.Option

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Avogadro number = $6.02 \times 10^{21}$

(A) The Avogadro number is defined as $6.022 \times 10^{23} \text{ mol}^{-1}$.Option $A$ states it as $6.02 \times 10^{21}$,which is incorrect.Option $B$ is correct as $\bar{\upsilon} = \sqrt{\frac{8RT}{\pi M}}$ and $u = \sqrt{\frac{3RT}{M}}$,so $\frac{\bar{\upsilon}}{u} = \sqrt{\frac{8}{3\pi}} \approx 0.9213$.Option $C$ is correct because the average kinetic energy of an ideal gas depends only on temperature ($KE = \frac{3}{2}RT$ for $1 \text{ mole}$).Option $D$ is the standard formula for root mean square velocity.

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

Easy

Which of the following statements is incorrect?

A
Avogadro number = $6.02 \times 10^{21}$
B
The relation between average velocity $(\bar{\upsilon})$ and root mean square velocity $(u)$ is $\bar{\upsilon} = 0.9213 \times u$
C
The average kinetic energy of an ideal gas is independent of the pressure of the gas.
D
The root mean square velocity of a gas can be calculated by $\left( \frac{3RT}{M_w} \right)^{\frac{1}{2}}$

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Mix Examples- States of Matter

Which of the following gas mixtures is not applicable for Dalton's law of partial pressure?

Medium

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The variation of pressure with volume of a gas at different temperatures can be graphically represented as shown in the figure. On the basis of this graph,answer the following questions:
$(i)$ How will the volume of a gas change if its pressure is increased at constant temperature?
$(ii)$ At a constant pressure,how will the volume of a gas change if the temperature is increased from $200 \ K$ to $400 \ K$?

Medium

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At $300 \ K$ and $760 \ torr$ pressure, the density of a mixture of $He$ and $O_2$ gases is $0.543 \ g \ L^{-1}$. The mass percent of oxygen is approximately $(R = 0.0821 \ L \ atm \ K^{-1} \ mol^{-1})$

MediumTS EAMCET 2023

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What is the relationship between viscosity and density?

Easy

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At ${100\,^o}C$ and $1\ L$,if the density of liquid water is $1.0\ g\ cm^{-3}$ and that of water vapour is $0.0006\ g\ cm^{-3}$,then the volume occupied by water molecules in $1\ L$ of steam at that temperature is .................. $cm^3$.

MediumIIT 2000

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Which of the following statements is incorrect?

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Which of the following gas mixtures is not applicable for Dalton's law of partial pressure?

At $300 \ K$ and $760 \ torr$ pressure, the density of a mixture of $He$ and $O_2$ gases is $0.543 \ g \ L^{-1}$. The mass percent of oxygen is approximately $(R = 0.0821 \ L \ atm \ K^{-1} \ mol^{-1})$

What is the relationship between viscosity and density?

At ${100\,^o}C$ and $1\ L$,if the density of liquid water is $1.0\ g\ cm^{-3}$ and that of water vapour is $0.0006\ g\ cm^{-3}$,then the volume occupied by water molecules in $1\ L$ of steam at that temperature is .................. $cm^3$.

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