Answer :
Final answer:
The partial pressure of oxygen in the scuba diving tank is 2.20 atm. The partial pressure of helium in the tank is 0.70 atm. The total pressure in the tank is 2.90 atm.
Explanation:
The partial pressure of oxygen can be calculated using the equation:
P(oxygen) = (n(oxygen) * R * T) / V(total)
Substituting the given values, we have:
P(oxygen) = (n(oxygen) * R * T) / V(total) = (27.7 L / 22.4 L/mol) * (0.08206 L*atm/mol*K) * (25.0°C + 273.15) K / 6.00 L = 2.20 atm
Similarly, the partial pressure of helium can be calculated using the equation:
P(helium) = (n(helium) * R * T) / V(total)
Substituting the given values, we have: P(helium) = (n(helium) * R * T) / V(total) = (7.54 L / 22.4 L/mol) * (0.08206 L*atm/mol*K) * (25.0°C + 273.15) K / 6.00 L = 0.70 atm
The total pressure in the tank can be calculated by summing up the partial pressures of oxygen and helium: Total Pressure = P(oxygen) + P(helium) = 2.20 atm + 0.70 atm = 2.90 atm
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