Final answer:
To find the partial pressure of He in the balloon, we can use Dalton's Law of Partial Pressure. The partial pressure of a gas is calculated by multiplying its mole fraction by the total pressure. In this case, the partial pressure of He is 0.195 atm.
Step-by-step explanation:
In order to find the partial pressure of He in the balloon, we need to use Dalton's Law of Partial Pressure. According to this law, the total pressure of a mixture of gases is equal to the sum of the partial pressures of each gas.
The partial pressure of a gas can be calculated by multiplying its mole fraction in the mixture by the total pressure.
First, we need to calculate the mole fraction of He in the mixture. The mole fraction can be found by dividing the moles of He by the total moles of all gases. In this case, the total moles of all gases is 0.67 + 0.030 + 0.090 = 0.79 moles.
The mole fraction of He is therefore 0.67 / 0.79 = 0.8481.
Finally, we can calculate the partial pressure of He by multiplying its mole fraction by the total pressure. The partial pressure of He is 0.8481 * 0.23 atm = 0.195 atm.