Determine the mass of hydrogen in a 60 liter cylinder under a pressure of 0.83 MPa at a temperature of 27C.
| September 7, 2021 | education
Data: V (cylinder capacity) = 60 l (60 * 10-3 m3); P (hydrogen pressure) = 0.83 MPa (0.83 * 10 ^ 6 Pa); Т (hydrogen temperature) = 27 ºС (300 К).
Constants: M (molar mass of hydrogen) = 2 g / mol (0.002 kg / mol); R (universal gas constant) = 8.31 J / (mol * K).
The mass of hydrogen in the cylinder is determined using the Mendeleev-Clapeyron law: P * V = (m / M) * R * T and m = P * V * M / (R * T).
Calculation: m = 0.83 * 10 ^ 6 * 60 * 10-3 * 0.002 / (8.31 * 300) = 0.04 kg (40 g).
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