A 40-liter bottle contains 4 kg of hydrogen and 6.5 kg of nitrogen. Determine the mixture pressure if the ambient temperature is 17C.

| February 13, 2021 | education

To determine the pressure created by the indicated mixture, we use the formula: Pcm = PH2 + PN2 = mH2 * R * T / (V * MH2) + mN2 * R * T / (V * MN2) = R * T / V * (mH2 / MH2 + mN2 / MN2).

Constants and variables: R – univers. gas constant (R = 8.31 J / (mol * K)); T – abs. ambient temperature (Т = 290 К (17 ºС)); V is the volume of the cylinder used (V = 40 l = 0.04 m3); mH2 is the mass of hydrogen (mH2 = 4 kg); MH2 is the molar mass of hydrogen (MH2 = 0.002 kg / mol); mN2 is the mass of nitrogen (mN2 = 6.5 kg); MN2 – molar mass of nitrogen (MN2 = 0.028 kg / mol).

Let’s make a calculation: Pcm = R * T / V * (mH2 / MH2 + mN2 / MN2) = 8.31 * 290 / 0.04 * (4 / 0.002 + 6.5 / 0.028) = 134.48 * 106 Pa.

Answer: The pressure of this mixture is 134.48 MPa.



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