A vessel with a volume of 10 liters contains 500 g of hydrogen at a pressure of 200 kPa. What is its temperature?
| June 1, 2021 | education
1) We translate the values into the SI system.
m = 500 g = 0.5 kg.
p = 200 kPa = 200000 Pa.
2) Values of constants.
Universal gas bath constant R = 8.31 J / mol * K.
The molar mass of diatomic hydrogen is M = 0.002 kg / mol.
3) Formulas.
We recall the Mendeleev-Cliperon formula and the formula for the amount of substance.
p * V = n * R * T.
n = m / M = 0.5 / 0.002 = 250 mol.
We express T.
T = p * V / n * R.
Substitute the values.
T = 200000 * 10/250 * 8.31 = 962 K.
Answer: T = 962 K.
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