(C) According to Boyle's law,for a constant temperature,$P_{1}V_{1} = P_{2}V_{2}$.Given:Initial pressure at $N.T.P.$,$P_{1} = 76 \ cm$ of $Hg$.Initial

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(C) According to Boyle's law,for a constant temperature,$P_{1}V_{1} = P_{2}V_{2}$.Given:Initial pressure at $N.T.P.$,$P_{1} = 76 \ cm$ of $Hg$.Initial volume,$V_{1} = 5 \ L$.Final volume,$V_{2} = 5 \ L + 30 \ L = 35 \ L$.Applying the formula:$76 \times 5 = P_{2} \times 35$$P_{2} = \frac{76 \times 5}{35}$$P_{2} = \frac{76}{7} \approx 10.857 \ cm$ of $Hg$.Rounding to two decimal places,the resultant pressure is $10.86 \ cm$ of $Hg$. The closest option is $10.85 \ cm$ of $Hg$.

Class 11 Physics Kinetic Theory of Gases Gas Laws (Charles, Boyle's, Avagadro's, Gay Lussacs and Dalton's law) and Ideal gas Equation

Medium

$A$ cylinder of $5 \ L$ capacity,filled with air at $N.T.P.$,is connected to another evacuated cylinder of $30 \ L$ capacity. The resultant air pressure in both the cylinders will be ...... $cm$ of $Hg$. (in $.85$)

A
$38$
B
$21$
C
$10$
D
$14$

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Kinetic Theory of Gases

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Gas Laws (Charles, Boyle's, Avagadro's, Gay Lussacs and Dalton's law) and Ideal gas Equation

For an ideal gas with pressure $P$,temperature $T$,and volume $V$,where the mass of each molecule is $m$,what is the density of the gas? ($k$ is the Boltzmann constant)

Medium

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At constant temperature, the pressure of a gas is decreased by $20 \%$. What is the percentage change in volume?

EasyMHT CET 2022

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The mass of oxygen gas occupying a volume of $11.2 \text{ litres}$ at a temperature $27^{\circ}C$ and a pressure of $760 \text{ mm}$ of mercury in kilograms is $[$ Molecular weight of oxygen $= 32]$

DifficultAP EAMCET 2002

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The correct graph between pressure $(P)$ and density $(\rho)$ of a gas at constant temperature is

Medium

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The figure shows the volume $V$ versus temperature $T$ graphs for a certain mass of a perfect gas at two constant pressures of $P_1$ and $P_2$. What inference can you draw from the graphs?

MediumAIIMS 2014

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$A$ cylinder of $5 \ L$ capacity,filled with air at $N.T.P.$,is connected to another evacuated cylinder of $30 \ L$ capacity. The resultant air pressure in both the cylinders will be ...... $cm$ of $Hg$. (in $.85$)

Similar Questions

For an ideal gas with pressure $P$,temperature $T$,and volume $V$,where the mass of each molecule is $m$,what is the density of the gas? ($k$ is the Boltzmann constant)

At constant temperature, the pressure of a gas is decreased by $20 \%$. What is the percentage change in volume?

The mass of oxygen gas occupying a volume of $11.2 \text{ litres}$ at a temperature $27^{\circ}C$ and a pressure of $760 \text{ mm}$ of mercury in kilograms is $[$ Molecular weight of oxygen $= 32]$

The correct graph between pressure $(P)$ and density $(\rho)$ of a gas at constant temperature is

The figure shows the volume $V$ versus temperature $T$ graphs for a certain mass of a perfect gas at two constant pressures of $P_1$ and $P_2$. What inference can you draw from the graphs?

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