Absolute Temperature and Ideal Gas Equation

$600 \mathrm{c}.\mathrm{c}.$ 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 temperature shift of $12 \mathrm{l}$ hydrogen gas in a $20 \mathrm{l}$ container is $100 \mathrm{K}$ to $220 \mathrm{K}$. The gas expanded without any external heat gain or lose, the initial pressure was $12 \mathrm{atm}$, what will be the pressure at that gas in $220 \mathrm{K}$?

An air bubble of volume $1 {\mathrm{cm}}^3$ rises from the bottom of a lake $40 \mathrm{m}$ deep to the surface at a temperature of $12°\mathrm{C}.$ The atmospheric pressure is  $1\times {10}^5 \mathrm{Pa},$ the density of water is $1000 \mathrm{kg} {\mathrm{m}}^{-3}$ and $\mathrm{g}=10 \mathrm{m} {\mathrm{s}}^{-2}.$There is no difference of the temperature of water at the depth of $40 \mathrm{m}$ and on the surface. The volume of air bubble when it reaches the surface will be

In the given $PV$ diagram, where $P$ and$V$are pressure and volume of an ideal gas respectively. Then

Temperature of $n$ moles of an ideal gas is increased from $T_0$ to $2T_0$ through a process $P=\frac{\alpha }{T^2}$($\alpha$ is $+ve$ constant). Find the work done by gas.

An air bubble having volume $1 {\mathrm{cm}}^3$ at depth $40 \mathrm{m}$ inside water comes to surface. What will be the volume of the bubble at the surface?

In rising from the bottom of a lake, to the top, the temperature of an air bubble remains unchanged, but its diameter gets doubled. If $h$ is the barometric height (expressed in $m$ of mercury of relative density $\rho$) at the surface of the lake, the depth of the lake is

At $273 \mathrm{K}$ the density of a gaseous oxide at$2$bar is the same as that of nitrogen (Atomic mass =$14u$) at $5$ bar. Calculate the molar mass of the oxide

What is the work done by $0.2$ mole of a gas at room temperature to double its volume during isobaric process? (Take, $R=2 \mathrm{cal} {\mathrm{mol}}^{-1} {\mathrm{C}}^{-1}$)

The figure shows$P-V$ diagram for a given mass of an ideal gas for the process $1\to 2$. During this process temperature of the gas 

Given$P\propto T$,on increasing the value of $T$ by $1°\mathrm{C}$, the value of $P$ increases by$0.4\%$, then find initial value of $T$ :-

When an air bubble of radius$r$rises from the bottom to the surface of a lake, its radius becomes $\frac{5r}{4}$. Taking the atmospheric pressure to be equal to $10 \mathrm{m}$ height of water column, the depth of the lake would approximately be (ignore the surface tension and the effect of temperature)

One mole of an ideal monoatomic gas is taken at a temperature of $300 \mathrm{K}$. Its volume is doubled keeping its pressure constant. Find the change in internal energy. 

What is Boyle law explain in detail?

Two flasks $R$ and $S$ of volume $V_1$ and $V_2$ contain same gas at pressure $P_1$ and $P_2$ respectively at the same temperature. Pressure of the gas when the flasks $R$ and $S$ are connected by a tube of negligible volume is

Statement (I) : Gas thermometers are less sensitive than liquid thermometers.

Statement (II) : The ratio of universal gas constant and avagadro's number is called Boltzman's constant.

Statement (III) : The density of a given mass of a gas at constant pressure is inversely proportional to its absolute temperature.

The correct option among the following is

Some nitrogen is held in $92.00 \mathrm{L}$ tank at a pressure of $3.00 \mathrm{atm}$. The tank is connected to a $5.00 \mathrm{L}$ tank that is completely empty (evacuated), and valve is opened to connect the two. Determine the total pressure in the two-tank system after the nitrogen stops flowing. Assume that no temperature change occurs during the process.

An empty pressure cooker of volume $10$ liters contains air at atmospheric pressure ${10}^5\mathrm{P}$ a and temperature of $27°\mathrm{C}$. It contains a whistle which has area of $0.1{\mathrm{cm}}^2$ and weight of $100\mathrm{gm}$. What should be the temperature of air inside so that the whistle is just lifted up?