The ideal gas law describes the relationship among the pressure P, volume V, number of moles n., and absolute temperature T of an ideal gas. Here is the relationship expressed mathematically: PV = nRT where R is a proportionality constant. The units of R are determined by the units of pressure and volume used in the equation. When bar is used for pressure and I for volume, the appropriate R value is 0.08314 L bar mol-¹ K-¹ Part A How many air molecules are in a 4.05 x 3.66 x 3.05 m³ room? Assume atmospheric pressure of 1.00 bar, a room temperature of 20.0°C, and ideal behavior. Express your answer using three significant figures. ▸ View Available Hint(s) IVE] ΑΣΦ → O ? molecules

The van der Waals equation of state was designed (by Dutch physicist Johannes van der Waals) to predict the relationship between pressure p, volume V and temperature T for gases better than the Ideal Gas Law does:   (p + a n2/V2)(V- nb)= nRT   The van der Waals equation of state. R stands for the gas constant and n for moles of gas. The parameters a and b must be determined for each gas from experimental data. Use the van der Waals equation to answer the questions in the table below.   What are the units of a?   What are the units of b?   For ethane the numerical value of a is 5.507and the numerical value of b is 0.0651. Use the van der Waals equation to calculate the pressure of a sample of ethane at 55.0°C with a molar volume of 0.781/Lmol. Round your answer to 3 significant digits. atm Use the Ideal Gas Law to calculate the pressure of the same sample under the same conditions. Round this answer to 3 significant digits also. atm

The ideal gas law allows us to predict that: As the temperature of a gas increases, the volume of the gas will increase by a proportional amount. If the amount of gas stored inside of a rigid container were increased while the temperature was held constant, the pressure would increase proportionately with the quantity of gas inside the container. As the pressure of a gas increases, the volume of the gas will increase by a proportional amount. If there is a decrease in the quantity of gas stored inside a rigid container that is maintained at constant pressure, the temperature will also decrease proportionately.

What is the pressure in kilopascals of a gas that exerts a pressure of 825 torr? Use your chart for pressure conversions. Convert 825,000 pascal, pa into torr. Give the numerical value only without the unit (the assumption is that the unit is torr). 1 atm = 760 torr 760 mmHg = 101,325 pa = 101.325 kpa = 1.01325 barr = 14.696 %3D %3D p.s.i. = 29.921 inHg (inHg and p.s.i. are approximations of the metric pressures and are subject to significant figures)