Answer :
Using Dalton's law of partial pressures, the partial pressure of hydrogen (H₂) is calculated by subtracting the partial pressures of helium (He) and argon (Ar) from the total pressure of the mixture. The partial pressure of H₂ in the mixture is determined to be 1.9 kPa.
The student's question is about determining the partial pressure of hydrogen gas (H₂) in a mixture. Given the total pressure of the gas mixture and the partial pressures of helium (He) and argon (Ar), we can use Dalton's law of partial pressures to find the unknown partial pressure of hydrogen. According to Dalton's law, the total pressure of a gas mixture is equal to the sum of the partial pressures of the individual gases.
To calculate the partial pressure of H₂ (PH₂), you subtract the partial pressures of He (PHe) and Ar (PAr) from the total pressure (Ptotal):
PH₂ = Ptotal - PHe - PAr
PH₂ = 99.3 kPa - 42.7 kPa - 54.7 kPa
PH₂ = 1.9 kPa
Therefore, the partial pressure of hydrogen in the mixture is 1.9 kPa.