(D) Using the ideal gas equation: $PV = nRT$Given: $P = 200 \, Pa$,$V = 10 \, m^3$,$T = 1000 \, K$,$n = (0.5 + x) \, mol$.Substituting the values: $20

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(D) Using the ideal gas equation: $PV = nRT$Given: $P = 200 \, Pa$,$V = 10 \, m^3$,$T = 1000 \, K$,$n = (0.5 + x) \, mol$.Substituting the values: $200 \times 10 = (0.5 + x) \times R \times 1000$$2000 = (0.5 + x) \times 1000R$$2 = (0.5 + x)R$$\frac{2}{R} = 0.5 + x$$x = \frac{2}{R} - 0.5$$x = \frac{2 - 0.5R}{R} = \frac{4 - R}{2R}$

Class 11 Chemistry States of Matter Ideal gas equation and Related gas laws

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$0.5 \, mol$ of gas $A$ and $x \, mol$ of gas $B$ exert a pressure of $200 \, Pa$ in a container of volume $10 \, m^3$ at $1000 \, K$. Given $R$ is the gas constant in $J \, K^{-1} \, mol^{-1}$,$x$ is

JEE MAIN 2019 All JEE MAIN

A
$\frac{2R}{4 + R}$
B
$\frac{2R}{4 - R}$
C
$\frac{4 + R}{2R}$
D
$\frac{4 - R}{2R}$

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States of Matter

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Ideal gas equation and Related gas laws

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$0.5 \, mol$ of gas $A$ and $x \, mol$ of gas $B$ exert a pressure of $200 \, Pa$ in a container of volume $10 \, m^3$ at $1000 \, K$. Given $R$ is the gas constant in $J \, K^{-1} \, mol^{-1}$,$x$ is

Similar Questions

$A$ $5.75 \ g$ sample of a gas occupies $3.5 \ L$ at $55 \ ^oC$ and $0.940 \ atm$ pressure. What is the molecular weight of the gas?

$A$ bubble is at the bottom of a lake of depth $h$. As the bubble rises to the surface,its radius increases by a factor of $3$. If the atmospheric pressure is equal to the pressure exerted by a water column of height $\ell$,then $h$ is equal to:

State Charles's Law.

Equal amounts of gases are kept in two separate containers. If the densities of the two gases are in $1:2$ ratio and their temperatures are in $2:1$ ratio, calculate the ratio of their respective pressures.

$A$ sample of gas occupies $100 \ mL$ at $27 \ ^oC$ and $740 \ mm$ pressure. What will be the temperature of the gas in $^oC$ if its volume is changed to $80 \ mL$ at $740 \ mm$ pressure?

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