Questions: The mercury manometer shown here is open to the atmosphere at 760 torr on the right side and contains a confined gas on the left. The pressure of the confined gas is:
A. 727 torr
B. 760 torr
c. 793 torr
D. 1520 torr
E. 1487 torr
Transcript text: The mercury manometer shown here is open to the atmosphere at 760 torr on the right side and contains a confined gas on the left. The pressure of the confined gas is:
A. 727 torr
B. 760 torr
c. 793 torr
D. 1520 torr
E. 1487 torr
Solution
Solution Steps
Step 1: Understanding the Problem
We need to determine the pressure of the confined gas in a mercury manometer. The manometer is open to the atmosphere on the right side, which is at 760 torr, and contains a confined gas on the left side.
Step 2: Analyzing the Manometer
In a manometer, the difference in mercury levels between the two sides indicates the pressure difference between the confined gas and the atmospheric pressure. If the mercury level is higher on the side open to the atmosphere, the confined gas pressure is higher than the atmospheric pressure by the height difference of the mercury column.
Step 3: Calculating the Confined Gas Pressure
Assume the height difference in the mercury column is \( h \) torr. The pressure of the confined gas \( P_{\text{gas}} \) can be calculated using the formula:
\[ P_{\text{gas}} = P_{\text{atm}} + h \]
where \( P_{\text{atm}} \) is the atmospheric pressure (760 torr).
Step 4: Matching the Given Options
Given the options:
A. 727 torr
B. 760 torr
C. 793 torr
D. 1520 torr
E. 1487 torr
We need to find the option that matches the calculated pressure. Since the problem does not provide the exact height difference \( h \), we infer that the correct answer should be the one that logically fits the scenario where the confined gas pressure is higher than the atmospheric pressure.