Concept explainers
One kilomole of ideal gas occupies 22.4
(a)
The pressure required to compress
Answer to Problem 32SP
Solution:
Explanation of Solution
Given data:
The total initial volume of
The initial temperature of
The initial pressure of
The final volume of
The final temperature of
Formula used:
Write the ideal gas equation,
Here,
Write the conversion relation for Celsius temperature to Kelvin temperature.
Here,
Explanation:
Convert the temperature from
For
For
Recall the expression obtained from the ideal gas law.
If all other variables are constant then the relation between pressure, volume, and temperature between two states of the gas is written as follows:
Here,
Rearrange the expression for final pressure.
Substitute
Conclusion:
Therefore, the final requiredpressure of
(b)
The maximum temperature that the tankwithstands at the pressure of
Answer to Problem 32SP
Solution:
Explanation of Solution
Given data:
The total initial volume of
The initial temperature of
The initial pressure of
The final volume of
The container can withstands the
Formula used:
Write the ideal gas equation,
Here,
Write the conversion relation for Celsius temperature to Kelvin temperature.
Here,
Explanation:
Convert the temperature from
For
For
Calculate the total maximum pressure on the container that withstandsitself.
Here,
Substitute
Recall the expression obtained from the ideal gas law.
If all other variables are constant then the relation between pressure, volume, and temperature between twostates of the gas is written as follows:
Here,
Rearrange the expression for final temperature.
Substitute
Convert this temperature into degree Celsius.
For
Conclusion:
Therefore, the maximumtemperature of
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Chapter 16 Solutions
Schaum's Outline of College Physics, Twelfth Edition (Schaum's Outlines)
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