The pressure of a sample of gas is measured at sea level with an open-end mercury manometer. Assuming atmospheric pressure is 684.73 mm Hg, determine the pressure of the gas if h = 18.24 cm. (answer in mmHg - but do not include units in your answer)

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**Measuring Gas Pressure Using an Open-End Mercury Manometer**

**Problem Statement:**

The pressure of a sample of gas is measured at sea level with an open-end mercury manometer. Assuming atmospheric pressure is 684.73 mm Hg, determine the pressure of the gas if h = 18.24 cm. (Provide your answer in mmHg - but do not include units in your answer).

**Diagram Description:**

The diagram shows an open-end mercury manometer used to measure the pressure of a gas. The setup consists of the following parts:

- A gas container connected to a manometer.
- The manometer is a U-shaped tube partially filled with mercury.
- One end of the manometer is exposed to the gas (labeled "Gas"), and the other end is open to the atmosphere (labeled "Open end").
- The height difference of the mercury column between the two arms of the U-tube is marked as \( h \). In this case, \( h \) is given as 18.24 cm.

**Calculation Explanation:**

To determine the pressure of the gas, you can use the following steps:

1. **Convert \( h \) to mm Hg**: Since \( h \) is given in centimeters (cm), convert it to millimeters (mm) because the pressure is asked to be in mm Hg.
   \[
   h = 18.24 \, \text{cm} = 182.4 \, \text{mm}
   \]

2. **Determine the type of manometer reading**:
   - If the mercury level in the arm open to the atmosphere is higher, the pressure of the gas is lower than atmospheric pressure.
   - If the mercury level in the gas-connected arm is higher, the pressure of the gas is higher than atmospheric pressure.

3. **Calculate the Gas Pressure**:
   - In this diagram, it is assumed that the mercury level is higher on the open end side (which means the gas pressure is higher than the atmospheric pressure).
   \[
   P_{\text{gas}} = P_{\text{atm}} + h = 684.73 \, \text{mmHg} + 182.4 \, \text{mmHg}
   \]

4. **Result**:
   \[
   P_{\text{gas}} = 867.13 \, \text{mmHg}
   \]

Thus, the pressure of the gas
Transcribed Image Text:**Measuring Gas Pressure Using an Open-End Mercury Manometer** **Problem Statement:** The pressure of a sample of gas is measured at sea level with an open-end mercury manometer. Assuming atmospheric pressure is 684.73 mm Hg, determine the pressure of the gas if h = 18.24 cm. (Provide your answer in mmHg - but do not include units in your answer). **Diagram Description:** The diagram shows an open-end mercury manometer used to measure the pressure of a gas. The setup consists of the following parts: - A gas container connected to a manometer. - The manometer is a U-shaped tube partially filled with mercury. - One end of the manometer is exposed to the gas (labeled "Gas"), and the other end is open to the atmosphere (labeled "Open end"). - The height difference of the mercury column between the two arms of the U-tube is marked as \( h \). In this case, \( h \) is given as 18.24 cm. **Calculation Explanation:** To determine the pressure of the gas, you can use the following steps: 1. **Convert \( h \) to mm Hg**: Since \( h \) is given in centimeters (cm), convert it to millimeters (mm) because the pressure is asked to be in mm Hg. \[ h = 18.24 \, \text{cm} = 182.4 \, \text{mm} \] 2. **Determine the type of manometer reading**: - If the mercury level in the arm open to the atmosphere is higher, the pressure of the gas is lower than atmospheric pressure. - If the mercury level in the gas-connected arm is higher, the pressure of the gas is higher than atmospheric pressure. 3. **Calculate the Gas Pressure**: - In this diagram, it is assumed that the mercury level is higher on the open end side (which means the gas pressure is higher than the atmospheric pressure). \[ P_{\text{gas}} = P_{\text{atm}} + h = 684.73 \, \text{mmHg} + 182.4 \, \text{mmHg} \] 4. **Result**: \[ P_{\text{gas}} = 867.13 \, \text{mmHg} \] Thus, the pressure of the gas
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