A mixture of 0.52 mole of hydrogen, 9.23 mole of nitrogen, and 6.78 moles of oxygen are placed in a flask. When the partial pressure of the oxygen is 663.83 mm of mercury, what is the total pressure in the flask?
Question
A mixture of 0.52 mole of hydrogen, 9.23 mole of nitrogen, and 6.78 moles of oxygen are placed in a flask. When the partial pressure of the oxygen is 663.83 mm of mercury, what is the total pressure in the flask?
Solution
To solve this problem, we need to use Dalton's Law of Partial Pressures. This law states that the total pressure exerted by a mixture of gases is equal to the sum of the partial pressures of each individual gas in the mixture.
The partial pressure of a gas is proportional to the number of moles of that gas in the mixture. So, we can set up a proportion to find the total pressure.
First, let's find the total number of moles in the mixture:
0.52 moles (H2) + 9.23 moles (N2) + 6.78 moles (O2) = 16.53 moles
Next, we set up the proportion. Let P be the total pressure in the flask:
(P / 16.53 moles) = (663.83 mmHg / 6.78 moles)
Solving for P gives us:
P = (663.83 mmHg * 16.53 moles) / 6.78 moles
P = 1603.97 mmHg
So, the total pressure in the flask is 1603.97 mmHg.
Similar Questions
A flask contains 9.15 moles of nitrogen and 5.14 moles of helium. What is the partial pressure of the helium gas if the total pressure is 3.29.
A sealed vessel contains 8.58 moles of oxygen, 1.27moles of carbon dioxide, and 3.65 moles of nitrogen gas. The total pressure of the gas mixture is 2.94 atmospheres. What is the partial pressure of the carbon dioxide?
How many moles of N are in a flask with a volume of 983.16 mL at a pressure of 100.9 kPa and a temperature of 408.6 K?
If the air in a container contains 92.94% oxygen, what is the partial pressure of oxygen in the container if the total pressure 28.84 atm?
A gas sample is prepared in which the components have the following partial pressures: nitrogen, 555 mmHg; oxygen, 149 mmHg; water vapor, 13 mmHg; argon, 7 mmHg. What is the total pressure of this mixture?
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.