Ideal Gas
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Question “Ideal Gas”
Consider an ideal gas at 27.0 degrees Celsius and 1.00 atmosphere pressure. Imagine the molecules to be uniformly spaced, with each molecule at the center of a smallcube. What is the length of an edge of each small cube if adjacent cubes touch but don’t overlap?
Answer
This problem can be solved using two concepts: ideal gas equation, and volume of cube.
To find the volume of the molecule, first use the ideal gas equation.
Next, calculate the edge length for each cube by using the relationship between the volume and the side length.
The ideal gas is determined by its volume, temperature and pressure. These are the three variables that determine the state of the variable.
In terms of volume, pressure, universal gas constant and moles, the Ideal gas is,
Here,
is the pressure,
is the volume,
is the number of moles,
is the universal gas constant,
is the temperature, and
is the temperature.
The Ideal gas is defined as the following:
Here, the number and Boltzmann constant are
.
The volume of the cube can be expressed as:
.
The Ideal gas equation can be expressed as:
Rearrange above expression for
.
Substitute
to
;
to
;
to
;
to
.
The volume of the cube can be expressed as:
Modify the expression above for
.
Substitute HTMLcodeMediaTag26$ to
.
The cube’s edge length therefore is
.
Ans:
Conclusion
Above is the solution for “Ideal Gas“. We hope that you find a good answer and gain the knowledge about this topic of science.