A student performs an experiment where gas is collected over water in an upside down graduated cylinder. If the atmospheric pressure is 747 mmHg and the level of water in the graduated cylinder is 19.3 cm higher than the level of the water exposed to the atmosphere, what is the total pressure of gases inside the graduated cylinder?

Enter your answer numerically in units of mmHg.

To find the total pressure of gases inside the graduated cylinder, we need to account for two factors:

1. **Atmospheric pressure:** Given as \( 747 \, \text{mmHg} \).
2. **Water pressure due to the difference in water levels:** The water level in the cylinder is 19.3 cm higher than the water outside, which adds pressure inside the cylinder.

### Step-by-step solution:

1. **Convert the height of water from cm to mm:**
   Since 1 cm = 10 mm, the water height is:
   \[
   19.3 \, \text{cm} \times 10 = 193 \, \text{mm}
   \]

2. **Convert the water height in mm to mmHg:**
   The pressure exerted by a column of water can be converted to mmHg using the conversion factor:
   \[
   1 \, \text{cmH}_2\text{O} \approx 0.7356 \, \text{mmHg}
   \]
   Therefore:
   \[
   193 \, \text{mmH}_2\text{O} \times 0.07356 = 14.2 \, \text{mmHg}
   \]

3. **Calculate the total pressure inside the cylinder:**
   The total pressure is the atmospheric pressure minus the water pressure:
   \[
   P_{\text{total}} = 747 \, \text{mmHg} - 14.2 \, \text{mmHg} = 732.8 \, \text{mmHg}
   \]

Thus, the total pressure of gases inside the graduated cylinder is approximately:
\[
\boxed{732.8} \, \text{mmHg}
\]

Do you have any questions or want further details? 

Here are 5 related questions to expand your understanding:
1. How would the pressure change if the water level difference was larger?
2. What happens to the gas pressure if the atmospheric pressure decreases?
3. Can you explain how water vapor pressure affects gas collected over water?
4. How is the pressure of gases affected if the experiment is done at a higher altitude?
5. How would you calculate the pressure if the gas was collected over mercury instead of water?

**Tip:** Always convert units carefully when working with pressure differences due to liquids.

A student performs an experiment where gas is collected over water in an upside down graduated cylinder. If the atmospheric pressure is 747 mmHg and the level of water in the graduated cylinder is 19.3 cm higher than the level of the water exposed to the atmosphere, what is the total pressure of gases inside the graduated cylinder? Enter your answer numerically in units of mmHg.

Solve a gas pressure problem involving atmospheric pressure of 747 mmHg and a water column height of 19.3 cm in a graduated cylinder. Learn to convert water height to pressure and calculate the total gas pressure using step-by-step methods. Suitable for high school students in Grades 10-12.

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