Answer:
The partial pressure of the hydrogen gas formed is approximately 718.9 mmHg.
Step-by-step explanation:
To calculate the total pressure of the hydrogen gas formed, we need to apply Dalton's law of partial pressures, which states that the total pressure of a mixture of non-reacting gases is equal to the sum of the partial pressures of each individual gas.
We have hydrogen gas collected over water, which means there is water vapor in the mixture as well.
The total pressure (P_total) is given as 740.0 mmHg.
We need to find the partial pressure of the hydrogen gas (P_hydrogen).
Dalton's law can be expressed as:
P_total = P_hydrogen + P_water vapor
Since the water vapor is collected over water, we can use the vapor pressure of water at the given temperature to find the partial pressure of water vapor.
At 23.0°C, the vapor pressure of water (P_water vapor) is approximately 21.1 mmHg.
Now we can rearrange the equation to solve for P_hydrogen:
P_hydrogen = P_total - P_water vapor
P_hydrogen = 740.0 mmHg - 21.1 mmHg
P_hydrogen = 718.9 mmHg
Therefore, the partial pressure of the hydrogen gas formed is approximately 718.9 mmHg.