A cylinder with a capacity of V = 12 liters is filled with nitrogen at a pressure of p = 8.31 MPa and a temperature of t = 7 ° C.
| December 2, 2020 | education
A cylinder with a capacity of V = 12 liters is filled with nitrogen at a pressure of p = 8.31 MPa and a temperature of t = 7 ° C. Determine the mass of nitrogen in the cylinder.
Recall the Mendeleev-Clapeyron equation
PV = m / M * RT
whence m = PVM / (RT)
M = 14 g / mol – molar mass
substituting given, we get
m = 8.31 * 10 ^ 6 * 12 * 10 ^ (- 3) * 14 * 10 ^ (- 3) / (8.31 * 280) = 0.6 kg
Answer m = 0.6 kg
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