The Density of Nitrogen Gas at 44.8°C and 141 kPa

What is the density of nitrogen gas at 44.8°C and 141 kPa?

Final answer: The density of nitrogen gas at 44.8°C and 141 kPa is 1.235 kg/m³.

Calculating the Density of Nitrogen Gas

To find the density of nitrogen gas at 44.8°C and 141 kPa, we can utilize the ideal gas law equation and some key conversions. Firstly, let's convert the given temperature of 44.8°C to Kelvin by adding 273: 44.8°C + 273 = 317.8 K Next, we convert the pressure from kilopascals (kPa) to atmospheres (atm) by dividing by the conversion factor of 101.325: 141 kPa ÷ 101.325 = 1.392 atm Now, with the temperature in Kelvin (317.8 K), pressure in atmospheres (1.392 atm), molar mass of nitrogen gas (28.01 g/mol), gas constant (0.0821 L.atm.mol⁻¹K⁻¹), we can plug these values into the formula to calculate density: Density = (Pressure × Molar Mass) / (Gas Constant × Temperature) Substitute the values: Density = (1.392 × 28.01) / (0.0821 × 317.8) = 1.235 kg/m³ Therefore, the correct answer is (B) 1.235 kg/m³, which corresponds to the density of nitrogen gas at 44.8°C and 141 kPa.
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