A 2.00 L rigid steel cylinder is filled with an ideal gas at an initial temperature…
CHEMISTRY · Multi-part · AP · Chemistry · Properties of Substances and Mixtures · Properties of Substances and Mixtures
Problem
A 2.00 L rigid steel cylinder is filled with an ideal gas at an initial temperature of 300 K and an initial pressure of 1.50 atm. The quantity of gas remains unchanged throughout the experiment.
(a) Describe qualitatively what will happen to the pressure inside the cylinder if the temperature is rapidly doubled to 600 K while the volume remains constant. Justify your answer using proportional reasoning based on fundamental gas relationships.
(b) Without performing any numerical calculation, describe the shape, intercept, and slope of the graph that would be obtained if pressure were plotted versus temperature for this sample from 0 K to 600 K.
(c) Suppose an identical 2.00 L cylinder instead contains exactly twice as many moles of the same gas at 300 K. Compare the slopes of the pressure–temperature graphs for the two cylinders. Explain the physical basis for any difference or similarity you identify.