9 December, 16:35
The density of h2 gas in a rigid container is 0.135 g/l at a given temperature. what is the pressure of hydrogen in the flask if it is heated to 201 °c?
9 December, 17:59
Let's assume that H₂ gas has ideal gas behavior.
Then we can use ideal gas formula,
PV = nRT
P = Pressure of the gas (Pa)
V = Volume of the gas (m³)
n = moles of the gas (mol)
R = Universal gas constant (8.314 J K⁻¹ mol⁻¹)
T = Temperature in Kelvin (K)
n = m/M,
Where m is mass of the gas (kg) and M is molar mass of the gas (kg/mol)
Hence PV = mTR / M
P = mTR / VM = (m/V) TR / M
m/V = d (density (kg/m³)
P = dRT / M
d = 0.135 g/L = 0.135 kg/m³
T = (273 + 201) K = 474 K
M = 2 g/mol = 2 x 10⁻³ kg/mol
P = 0.135 kg/m³ x 8.314 J K⁻¹ mol⁻¹ x 474 K / 2 x 10⁻³ kg/mol
P = 266006.43 Pa
P = 266 kPa
Hence the pressure of H₂ gas at 201⁰C is 266 kPa
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» The density of h2 gas in a rigid container is 0.135 g/l at a given temperature. what is the pressure of hydrogen in the flask if it is heated to 201 °c?