(A) Given: $P = 6 \ bar = 6 \times 10^{5} \ Pa$,$V = 0.0125 \ m^{3}$,$T = 27 + 273 = 300 \ K$,$R = 8.3 \ J \ K^{-1} \ mol^{-1}$.Using the ideal gas eq

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(A) Given: $P = 6 \ bar = 6 \times 10^{5} \ Pa$,$V = 0.0125 \ m^{3}$,$T = 27 + 273 = 300 \ K$,$R = 8.3 \ J \ K^{-1} \ mol^{-1}$.Using the ideal gas equation $PV = n_{mix}RT$:$n_{mix} = \frac{PV}{RT} = \frac{6 \times 10^{5} \times 0.0125}{8.3 \times 300} = \frac{7500}{2490} \approx 3.012 \ mol \approx 3 \ mol$.Let the moles of $He$ be $x$ and moles of $H_{2}$ be $(3-x)$.The total mass is $10 \ g$,so: $4x + 2(3-x) = 10$.$4x + 6 - 2x = 10 \implies 2x = 4 \implies x = 2 \ mol$.Mass of $He = n \times M = 2 \ mol \times 4 \ g \ mol^{-1} = 8 \ g$.

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

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$A$ $10 \ g$ mixture of hydrogen and helium is contained in a vessel of capacity $0.0125 \ m^{3}$ at $6 \ bar$ and $27^{\circ}C$. The mass of helium in the mixture is $g$. (nearest integer) Given : $R = 8.3 \ J \ K^{-1} \ mol^{-1}$ (Atomic masses of $H$ and $He$ are $1 \ u$ and $4 \ u$,respectively)

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$8$
B
$7$
C
$6$
D
$5$

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The three states of matter are solid,liquid,and gas. Which of the following statements is true about them?

MediumAIIMS 1991

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$A$ box of $1 \, L$ capacity is divided into two equal parts by a thin partition,which are filled with $2 \, g$ of $H_2$ and $16 \, g$ of $CH_4$ respectively. The temperature of each part is $T$. The pressure in each part is $P$. If the partition is removed,the total pressure will be:

Medium

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Identify the correct statements from the following:
$(A)$ The compressibility factor $(Z)$ for an ideal gas is $1$.
$(B)$ Uranium isotopes (${ }^{235}U$ and ${ }^{238}U$) are separated by converting them into $UF_6$ vapours.
$(C)$ Decrease in temperature increases the kinetic energy of gas molecules.

MediumAP EAMCET 2023

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Assertion : We feel cold on touching the ice.
Reason : Ice is a solid form of water.

DifficultAIIMS 2009

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Equal masses of $CH_4$ and $H_2$ are mixed in an empty container at $25\,^oC$. The fraction of the total pressure exerted by methane is

Medium

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The three states of matter are solid,liquid,and gas. Which of the following statements is true about them?

$A$ box of $1 \, L$ capacity is divided into two equal parts by a thin partition,which are filled with $2 \, g$ of $H_2$ and $16 \, g$ of $CH_4$ respectively. The temperature of each part is $T$. The pressure in each part is $P$. If the partition is removed,the total pressure will be:

Identify the correct statements from the following:$(A)$ The compressibility factor $(Z)$ for an ideal gas is $1$.$(B)$ Uranium isotopes (${ }^{235}U$ and ${ }^{238}U$) are separated by converting them into $UF_6$ vapours.$(C)$ Decrease in temperature increases the kinetic energy of gas molecules.

Assertion : We feel cold on touching the ice.Reason : Ice is a solid form of water.

Equal masses of $CH_4$ and $H_2$ are mixed in an empty container at $25\,^oC$. The fraction of the total pressure exerted by methane is

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Assertion : We feel cold on touching the ice.
Reason : Ice is a solid form of water.