Final answer:
The total pressure of a gas mixture, according to Dalton's Law of Partial Pressures, is the sum of the partial pressures of the gases present. In this case, the total pressure is 434 torr, calculated by adding the partial pressures of nitrogen, oxygen, and helium.
Step-by-step explanation:
The student is asking about the total pressure of a gas mixture containing nitrogen (N₂), oxygen (O₂), and helium (He), with known partial pressures for each component. According to Dalton's Law of Partial Pressures, the total pressure of a mixture of gases is the sum of all the partial pressures of the component gases.
To calculate the total pressure of the mixture, simply add up the partial pressures of each gas:
- Partial pressure of N₂ = 215 torr
- Partial pressure of O₂ = 102 torr
- Partial pressure of He = 117 torr
Therefore, the total pressure (Ptotal) is:
Ptotal = 215 torr + 102 torr + 117 torr = 434 torr.
So, the total pressure of the gas mixture is 434 torr.