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A gaseous hydrogen is stored at 500 Bar and 25 oC in a composite storage with an internal volume of 220 liters. Determine the mass of the hydrogen in the tank. Use a compressibility factor Z

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Eduard22sly

The mass of the hydrogen gas in tank, given the data is 6.17 Kg

Data obtained from the question

  • Pressure (P) = 500 Bar = 500 × 0.986923 = 493.4615 atm
  • Temperature (T) = 25 °C = 25 + 273 = 298 K
  • Volume (V) = 220 L
  • Gas constant (R) = 0.0821 atm.L/Kmol
  • Compressibility factor (z) = 1.45
  • Molar mass of hydrogen gas = 2.016 g/mol
  • Mass of hydrogen gas (m) =?

How to determine the mass

PV = znRT

Divid both sides by zRT

n = PV / zRT

but

mole (n) = mass (m) / molar mass (M)

Thus,

m / M = PV / zRT

m = MPV / zRT

m = (2.016 × 493.4615 × 220) / (1.45 × 0.0821 × 298)

m = 6169 g

Divide by 1000 to express in Kg

m = 6169 / 1000

m = 6.17 Kg

Complete question

A gaseous hydrogen stored at 500 Bar and 25°C in a composite storage with an internal volume of 220 liters. Determine the mass of the hydrogen in the tank. Use a compressibility factor Z = 1.45

3.06 kg

6.17 kg.

13.0 kg

5.05 kg

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