A fixed-volume container holds an unknown quantity of argon gas

CHEMISTRY · Multi-part · AP · Chemistry · Properties of Substances and Mixtures · Properties of Substances and Mixtures

Problem

A 0.0250 m30.0250\,\text{m}^3 fixed-volume container holds an unknown quantity of argon gas. The pressure of the gas is measured at five different absolute temperatures: Temperature TT (K): 280 300 320 340 360 Pressure PP (kPa): 92 99 106 112 119 (a) Using the data above, sketch a graph of pressure PP (vertical axis) versus temperature TT (horizontal axis). Draw a single straight best-fit line through the data points. (b) Determine the numerical value of the slope of your best-fit line, including appropriate units. (c) From the slope obtained in part (b), calculate the number of moles of argon contained in the vessel. (d) Using your linear model, predict the pressure of the gas when its temperature reaches 400 K400\,\text{K}. Give your answer to three significant figures.

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