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)
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)
Chemistry
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
Section: Chapter Questions
Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
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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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F35780925-5e45-4c26-92de-ecbbabfbfb48%2F97f47eb0-e1df-4eaf-a9a5-afba5d7c598c%2Fh8c67c_processed.jpeg&w=3840&q=75)
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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