What is the mass density of air at P=1.0 atm and T=(a)-10^∘ C and (b) 30^∘ C ? The average molec

step 1 To solve this question, we have to use the ideal gals law, which is represented by this equation

What is the mass density of air at P=1.0 atm and T=(a)-10^∘...

Key Concepts

Temperature Conversion to Kelvin

The ideal gas law requires temperature to be expressed in an absolute scale. Thus, converting temperatures from Celsius to Kelvin (by adding 273.15) is necessary to correctly compute gas properties such as density. This conversion ensures that the temperature values are compatible with the units used in the gas constant R.

Ideal Gas Law

The ideal gas law (PV = nRT) is a fundamental relation in thermodynamics that connects the pressure, volume, temperature, and number of moles of a gas. It provides the underlying basis for calculating various properties of gases—including density—by assuming that gases behave ideally with no intermolecular interactions and with negligible molecular volume.

Mass Density Calculation of a Gas

Mass density (?) is defined as the mass per unit volume of a substance. For gases, using the ideal gas law leads to the formula ? = PM/(RT), where P is the pressure, M is the molar mass, R is the universal gas constant, and T is the temperature in Kelvin. This formulation highlights how density changes with variations in pressure, temperature, and molecular weight.

Molecular Mass and Unit Conversion

The molecular mass (or molar mass) of a gas is a measure of the mass of one mole of its molecules. Converting this mass into the SI unit (kilograms per mole) is essential for consistency when applying the ideal gas law. This conversion allows for accurate calculation of density when the average molecular mass is provided in atomic mass units (u).

Transcript

Please give Ace some feedback