Ideal Gas Laws

$600 \mathrm{c}.\mathrm{c}.$ of a gas at a pressure of $750 \mathrm{mm}$ is compressed to $500 \mathrm{c}.\mathrm{c}$. Taking the temperature to remain constant, the increase in pressure, is

Under what conditions will a pure sample of an ideal gas not only exhibit a pressure of $1 \mathrm{atm}$ but also a concentration of $1 \mathrm{mole} {\mathrm{L}}^{-1}$?

$(\mathrm{R}=0.082 \mathrm{L}\mathrm{atm}{\mathrm{mol}}^{-1}{\mathrm{deg}}^{-1})$

Select one correct statement. In the gas equation, PV = nRT

The volume of air in a car tyre is about $1.50\times {10}^{-2} m^3$ at a temperature of $0.0 °C$ and  pressure $250 kPa$.

Calculate the number of molecules in the tyre( in no. of Molecules).

A container of an ideal gas that is isolated from its surroundings is divided into two parts. One part has double the volume of the other. The pressure in each part is $P$ and the temperature is the same. The partition is removed. What is the pressure in the container now? 

Which method do we use to separate a mixture of gases having different molecular weights?

The equation of state corresponding to $8 \mathrm{g}$ of $O_2$ is,

If the pressure and the volume of certain quantity of ideal gas are halved, then its temperature

The expansion of an ideal gas of mass $m$ in volume $V$ at constant pressure $P$ is given by the straight line$B$. Then the expansion of the same ideal gas of mass $2m$ at a pressure $2P$ is given by the straight line

The volume of vessel $A$ is twice the volume of another vessel $B$ and both of them are filled with the same gas. If the gas in $A$ is at twice the temperature and twice the pressure in comparison to the gas in $B$, then the ratio of the gas molecules in $A$ to that of $B$ is

 The temperature of an open room of volume $30 {\mathrm{m}}^3$ increases from ${17}^o\mathrm{C}$ to ${27}^{\mathrm{o}}\mathrm{C}$ due to the sunshine. The atmospheric pressure in the room remains $1\times {10}^5$ $\mathrm{Pa}$. If $n_i$ and $n_f$ are the number of molecules in the room before and after heating, then $n_f-n_i$ will be:

Modern vacuum pumps can evacuate a vessel down to a pressure of $\text{4.0}\times 10^{-15}$ $\mathrm{atm}$ at room temperature ($300 \mathrm{K}$). Taking $R = 8.3 \mathrm{J} {\mathrm{K}}^{-1} {\mathrm{mole}}^{-1}$, $1 \mathrm{atm}={10}^5 \mathrm{Pa}$ and $N_{\text{Avogadro}}=6\times 10^{23}{mole}^{-1}$, the mean distance between molecules of gas in an evacuated vessel will be of the order of:

For the P-V diagram given for an ideal gas

 Out of the following which one correctly represents the T-P diagram?

Air is filled in a bottle at atmospheric pressure and it is corked at $35 °\mathrm{C}$. If the cork can come out at a pressure $\mathrm{3 }$times the atmospheric pressure, then up to what temperature should the bottle be heated in order to remove the cork?

Significance of $a$ and $b$ in Van der Waals equation:

Equation for an ideal gas is:

Which one is the correct dimensional formula for Boltzmann constant?

Which one is the correct dimensional formula for universal gas constant.

Which one is the correct SI unit of universal gas constant.

When gases react together, their reaction volume bears a simple ratio to each other, under the same conditions of temperature and pressure. This law was proposed by _____.