Concept explainers
To rank the pressure of each container.
Answer to Problem 45Q
The pressure of the containers is ranked from largest to smallest pressure as,
Explanation of Solution
Container A:
Given info:
The temperature of the container is
The volume of the container A is
The value of universal gas constant
Formula used:
Formula to find the pressure of the container.
Using ideal gas equation,
Here,
Calculation:
Substitute the given values to find the final equilibrium temperature,
Let container contains one mole of helium gas the pressure is,
Container B:
Given info:
The temperature of the container is
The volume of the container B is
The value of universal gas constant
Formula used:
Formula to find the pressure of the container.
Using ideal gas equation,
Here,
Calculation:
Substitute the given values to find the final equilibrium temperature,
Let container contains one mole of helium gas the pressure is,
Container C:
Given info:
The temperature of the container is
The volume of the container C is
The value of universal gas constant
Formula used:
Formula to find the pressure of the container.
Using ideal gas equation,
Here,
Calculation:
Substitute the given values to find the final equilibrium temperature,
Let container contains one mole of helium gas the pressure is,
Container D:
Given info:
The temperature of the container is
The volume of the container D is
The value of universal gas constant
Formula used:
Formula to find the pressure of the container.
Using ideal gas equation,
Here,
Calculation:
Substitute the given values to find the final equilibrium temperature,
Let container contains one mole of helium gas the pressure is,
Container E:
Given info:
The temperature of the container is
The volume of the container E is
The value of universal gas constant
Formula used:
Formula to find the pressure of the container.
Using ideal gas equation,
Here,
Calculation:
Substitute the given values to find the final equilibrium temperature,
Let container contains one mole of helium gas the pressure is,
Container F:
Given info:
The temperature of the container is
The volume of the container F is
The value of universal gas constant
Formula used:
Formula to find the pressure of the container.
Using ideal gas equation,
Here,
Calculation:
Substitute the given values to find the final equilibrium temperature,
Let container contains one mole of helium gas the pressure is,
After calculation the pressure of containers is ranked from largest to smallest pressure as,
Conclusion:
Thus, the pressure of the containers is ranked from largest to smallest pressure as,
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Chapter 5 Solutions
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