Question

Calculate the density of nitrogen gas (in g/L) at 860 mm Hg and 42.5 °C.

Answer 1

To calculate the density of nitrogen gas at a given pressure and temperature, we can use the ideal gas law equation. Substituting the given values into the equation, the density of nitrogen gas is approximately 1.160 g/L.

Step-by-step explanation:

To calculate the density of nitrogen gas at a given pressure and temperature, we can use the ideal gas law equation:

Density = (Molar mass * Pressure) / (Gas constant * Temperature)

Using the given values:

Molar mass of nitrogen (N2) = 28.01 g/mol

Pressure = 860 mm Hg

Temperature = 42.5 °C = 315.65 K

Gas constant (R) = 0.0821 L.atm.mol-1K-1

Substituting these values into the equation, we get:

Density = (28.01 g/mol * 860 mm Hg) / (0.0821 L.atm.mol-1K-1 * 315.65 K)

Simplifying the equation, we find:

Density ≈ 1.160 g/L