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. The volume of the vessel is 
. The temperature is 
. How many gas molecules are in the container?
is equal to 1.2. The initial mass of the mixture is 10 g. Then, 2 g of hydrogen gas 
is added to the mixture.
of the partial pressures of helium and argon after the addition of hydrogen?
of the partial pressures of helium and hydrogen? Write the result to 3 decimal places.
.
contains 1 kg of oxygen gas, 
, with a molar mass of 
.
?
?
.
.
. The average molar mass of air is 29 kg .
and a pressure of 100 bar if the relative molecular mass of air is 29 kg?
. The relative molecular mass of the oxygen molecule 
is 32 kg. What is the pressure in the cylinder?
and the pressure is 0.1 bar. The relative molecular mass of air is approximately 29 kg.
. What is its partial pressure at 
? The relative atomic mass of oxygen is 16 and that of carbon is 12.
and a pressure of 1010 bar. 2 g of water is poured into the container. The water is allowed to evaporate and the temperature drops to 
.
with a relative molecular mass of 28 and 2 kg of oxygen 
with a relative molecular mass of 32 are placed in a 50 l container. The temperature of the container is 
.
of 
gas at temperature 
, is in a bottle of volume 
.
of the gas in the bottle at 
?
, an additional 
of 
after the addition.
.
.
.
.
. The relative molecular mass of water is 18 and the temperature is 
.
and nitrogen 
gases. 55% of the total mass of the mixture is oxygen and 45% is nitrogen. The temperature in the vessel is 300 K and the density of the mixture is 
.
for each gas state in the task.
and oxygen molecules 
. At a temperature of 
and a pressure of 1 bar, the densities of air, nitrogen and oxygen are 
, 
and 
respectively. What is the ratio of the number of oxygen molecules to that of nitrogen molecules in the air?
, we supply various gases stored in separate cylinders. From a cylinder in which oxygen is stored at a pressure of 20 bar and a temperature of 90 ° C, 12 l of oxygen is delivered. 
molecules are introduced from the nitrogen cylinder and 40 kg of gas from the helium cylinder. We also wait for the gases to mix well and stabilize at a temperature of 20 ° C. What is the pressure in the box?
. Assume that all the substance in the bulb is argon gas with a molar mass 
and that the bulb has the shape of a sphere with a radius of 3 cm. When the light is off, the temperature inside the bulb is 300 K.
and the Avogadro constant is 
.
air if the air temperature is 
and the relative humidity is 60%. The saturated vapour pressure is 23.4 mbar and the relative molecular mass of water is 18.
. The pressure and the mass of air in the room are 1.1 bar and 80 kg respectively. The average molar mass of air is 
.
as the gas constant and 
.
is saturated with water vapour. Calculate the density of the saturated air if the total pressure is 1.062 bar. At the given temperature, the saturated vapour pressure is 73.8 mbar, the relative molecular mass of air is 29 and that of water is 18.
. How many more water molecules can pass into the air? The temperature is the same throughout which is 
, and the saturated water vapor pressure at this temperature is 
.
,
. The ideal gas in the container has a pressure of 
at a temperature of 
. Show that the amount of gas in the cylinder is 
.
. The temperature remains at 
, the amount of gas in the container is found to be reduced by 
. Calculate
and contains gas at pressure 
and temperature 
. Show that cylinder A contains 
of gas.
and contains 
of gas. When tap T is opened, the pressure of the gas in both cylinders is 
. No thermal energy enters or leaves the gas. Determine the final temperature of the gas.
. The gas in container A has volume 
and is at a temperature of 
. The gas in container B has volume 
and is at a temperature of 
. Calculate the total amount of gas, in 
, in the containers.
the molar gas constant 
and the Boltzmann constant 
.
and contains 
of gas at a pressure of 
. Y has a volume of 
and contains gas at a pressure of 
. Data for the two cylinders are shown in the figure below.
.
of molecules of the gas in Y. Explain your reasoning.
of an ideal gas at 
. The pressure of the gas is 
and the volume of the gas is 
. Calculate:
: ...............................................................................
: ..........................................................................................
: ..........................................................................................
: ....................................................................................
: ........................................................................................
. The gas has a volume of 
and a pressure of 
.
of gas.
and a pressure 
. The gas undergoes a cycle of changes, X to Y to Z to X, as shown in the figure below.
for the gas at points X, Y, and Z.
of gas.
at a pressure of 
and a temperature of 
. Show that the number of gas molecules in the cylinder is 
.
at a pressure of 
and a temperature of 
, as shown in the figure below.
. During the expansion, no thermal energy is transferred. The final pressure of the gas is 
at temperature 
, as shown in the figure above.
.
.
. The pressure of the gas is 
and its volume is 
. Calculate the number 
of molecules in the gas.
. Calculate the mass of one molecule of the gas.
is filled with 
of an ideal gas. The pressure of the gas is 
at temperature 
. The mass of 
of the gas is 
. Show that the temperature 
.
at a pressure of 
and a temperature of 
. Calculate the number of molecules in the gas.
at pressure 
and temperature 
. The gas is heated at constant volume until the temperature is 
at pressure 
, as illustrated in the figure below.
of the gas by 
at constant volume is 
. Calculate, to three significant figures:
, of the gas
at a pressure of 
. The mass of gas in the cylinder is 
. The temperature of the gas in the cylinder is 
. Determine, to three significant figures,
, volume 
and temperature 
, as illustrated in the figure below.
results in an increase of pressure to a final value of 
at constant volume. The thermodynamic temperature becomes 
. Calculate
of the pressure 
of an ideal gas as it undergoes a cycle ABCA of changes is shown in the figure below.
. The temperature at B is 
. Determine
