The number of grams of air in the sample can be calculated using the Ideal Gas Law: grams=slope×V syringe× average molecular weight/R×T, where R is the ideal gas constant (0.0821 L·atm/(mol·K)).
The calculation for the number of grams of air in the sample involves applying the Ideal Gas Law, which states that the product of pressure (P), volume (V), and the gas constant (R) is proportional to the number of moles of gas (n) and the temperature (T). The formula used is PV=nRT. By rearranging the equation, we can express the number of moles (n) as PV/RT.
In this specific context, the slope from the Vsyringe vs. 1/Pair plot is utilized as a surrogate for pressure, and the temperature of the laboratory is given as 298 K. The volume (V syringe) represents the volume of the syringe.
The ideal gas constant (R) is 0.0821 L·atm/(mol·K), and the average molecular weight of air is provided as 28.8 g/mol. The resulting expression for the number of grams of air (grams) is obtained by multiplying the slope, volume, and molecular weight, then dividing by the product of the ideal gas constant and temperature. This calculation allows for the determination of the mass of the air sample based on experimental data and fundamental principles of gas behavior.