(A) The ideal gas equation is given by $PV = nRT$. Since $n = \frac{m}{M}$ and density $d = \frac{m}{V}$,we can write $P = \frac{dRT}{M}$. Given: $d =

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(A) The ideal gas equation is given by $PV = nRT$. Since $n = \frac{m}{M}$ and density $d = \frac{m}{V}$,we can write $P = \frac{dRT}{M}$. Given: $d = 8 \, kg \, m^{-3}$,$T = -40 + 273.15 = 233.15 \, K$,$R = 8.314 \, J \, K^{-1} \, mol^{-1}$,and $M = 0.0365 \, kg \, mol^{-1}$. Substituting the values: $P = \frac{8 \times 8.314 \times 233.15}{0.0365} \, Pa$. $P = \frac{15511.45}{0.0365} \, Pa \approx 4.25 \times 10^{5} \, Pa$.

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

Medium

Calculate the pressure of $HCl$ gas having a density of $8 \, kg \, m^{-3}$ at a temperature of $-40 \, ^oC$. (Given: $R = 8.314 \, J \, K^{-1} \, mol^{-1}$,Molar mass of $HCl = 36.5 \, g \, mol^{-1} = 0.0365 \, kg \, mol^{-1}$)

A
$4.24 \times 10^{5} \, Pa$
B
$5.24 \times 10^{5} \, Pa$
C
$3.24 \times 10^{5} \, Pa$
D
$6.24 \times 10^{5} \, Pa$

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Ideal gas equation and Related gas laws

Calculate the temperature of $4.0 \, mol$ of a gas occupying $5 \, dm^{3}$ at $3.32 \, bar$.
$(R = 0.083 \, bar \, dm^{3} \, K^{-1} \, mol^{-1})$

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For a fixed amount of gas at constant pressure,provide the plot of volume $(V)$ versus temperature $(T)$ in Kelvin. What does it represent?

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For the same mass of two different ideal gases of molecular weights $M_{1}$ and $M_{2}$, plots of $\log V$ vs $\log p$ at a given constant temperature are shown. Identify the correct option.

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If two identical containers $X$ and $Y$ containing $O_2$ gas are subjected to expansion from volume $V$ to $2V$ under identical isothermal conditions by applying pressure changes of $\Delta P$ and $0.2 \Delta P$ respectively,then the ratio of the mass of $O_2$ gas in container $X$ to container $Y$ is

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What is the value of $R$ in the ideal gas equation $pV = nRT$ in units of $bar \ L \ mol^{-1} \ K^{-1}$? Calculate it.

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Calculate the pressure of $HCl$ gas having a density of $8 \, kg \, m^{-3}$ at a temperature of $-40 \, ^oC$. (Given: $R = 8.314 \, J \, K^{-1} \, mol^{-1}$,Molar mass of $HCl = 36.5 \, g \, mol^{-1} = 0.0365 \, kg \, mol^{-1}$)

Similar Questions

Calculate the temperature of $4.0 \, mol$ of a gas occupying $5 \, dm^{3}$ at $3.32 \, bar$.$(R = 0.083 \, bar \, dm^{3} \, K^{-1} \, mol^{-1})$

For a fixed amount of gas at constant pressure,provide the plot of volume $(V)$ versus temperature $(T)$ in Kelvin. What does it represent?

For the same mass of two different ideal gases of molecular weights $M_{1}$ and $M_{2}$, plots of $\log V$ vs $\log p$ at a given constant temperature are shown. Identify the correct option.

What is the value of $R$ in the ideal gas equation $pV = nRT$ in units of $bar \ L \ mol^{-1} \ K^{-1}$? Calculate it.

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Calculate the temperature of $4.0 \, mol$ of a gas occupying $5 \, dm^{3}$ at $3.32 \, bar$.
$(R = 0.083 \, bar \, dm^{3} \, K^{-1} \, mol^{-1})$