Question

In 1780, a French balloonist by the name of Jacques Charles discovered that the volume of a fixed amount of gas held at a constant pressure is a linear function of its temperature. In a specific experiment it is observed that if 4 liters of oxygen at 0 Celsius is warmed to 100 Celsius, the volume of the oxygen increases to 5.46 liters.
A) Determine v, the volume of oxygen (in liters) as a function of t, its temperature (in degrees Celsius). Write your answer in slope-intercept form.
B) What is the volume of 4 liters of oxygen at 80 degrees Celsius?
C) What temperature (in degrees Celsius) is required to cause a volume of 4.2 liters?
Round all values to 4 decimal places.

Answer

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