Air is trapped in the sealed lower end of a capillary tube by a mercury column as shown in Fig. 16-1. The top of the tube is open. The temperature is 14 °C, and atmospheric pressure is 740 mmHg. What length would the trapped air column have if the temperature were 30 °C and atmospheric pressure were 760 mmHg?
The length of the air column trapped into the capillary column shown in Fig. 16-1when the temperature is
Answer to Problem 33SP
Solution:
Explanation of Solution
Given data:
Air is trapped in the sealed lower end of the capillary tube at
The length of the air column is to be determined at
Formula used:
Write the expression for thepressure on a substance at a certain depth.
Here,
Write the expression forgas law.
Here,
The unit conversion of temperature from
Here,
Explanation:
The air inside the tube is compressed because of the pressure of mercury column in the tube.
The expression for thepressure on a substance at a certain depth is,
When atmospheric pressure is
When atmospheric pressure is
The expression forvolume is,
Here,
For pressure
For pressure
Convert the temperature at pressure
For pressure
For pressure
The expression forgas law is,
Substitute
Solve for
Conclusion:
The length of the air column at temperature,
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Chapter 16 Solutions
Schaum's Outline of College Physics, Twelfth Edition (Schaum's Outlines)
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