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.