COLLEGE ALGEBRA
LESSON #1
NAME __________________________________
1. When analyzing a substance that is in the gas phase, there are four important VARIABLES that one must
consider. They are:
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2. In the boxes below, write the three proportionality relationships between the variables:
3. In the box below, write out the COMBINED proportionality relationship for all the variables:
4. When all of the variables are recombined on the LEFT, we see that they must equal some number (X). Write
the relationship in the box below:
5. Using the set of data that have been provided to you, use the space below to insert them into the expression
and solve for ‘X’.
6. The number that you have calculated is referred to as the UNIVERSAL GAS CONSTANT, ‘R’.
In the space below, re-write the equation such that ‘P’ and ‘V’ are alone on the left side of the equation.
7. The equation you have now written is referred to as the “IDEAL GAS” LAW. It can be used to determine
any particular variable associated with a gas sample, so long as three of the other variables are known. Using
the following information, rearrange the Ideal Gas Law to solve for the unknown variable, then determine its
value.
A particular 14.0 Liter Propane tank contains 3.01 moles of the gas. At room temperature (77 degrees
Fahrenheit = 298 Kelvin), what is the pressure of the gas in the tank? During a heat-wave, the temperature rose
to 118 degrees Fahrenheit (this is 321 Kelvin). What is the new pressure in the container?