A physicist performs an experiment to evaluate the number of moles of a gas inside a container. The container is kept at a constant room temperature of 23 C and is built in such a way that the number of moles stays constant. The physicist changes the volume to different values and measures the corresponding (absolute) pressures. The table below shows the results of the experiment.

Assuming the gas obeys the ideal gas law, use the value of the slope m to find the number of moles. The slope calculated is related to the Universal Gas Constant, R, with the following equation: m = nRT.

Relating Pressure-Volume results obtained from experiment. Set 380 Set 1/ (ml) P (kPa) 360 1 0.020 168 2 0.022 194 340 3 0.025 215 4 0.029 248 5 0.033 287 320 6 0.040 377 7 300 Linear mx + b m = 10100 + 550 b = -35.3 +16 r= 0.994 8 9 10 280 P (kPa) 11 260 12 13 14 240 15 16 17 220 18 19 200 20 21 180 22 23 24 160 25 0.020 0.022 0.024 0.026 0.026 0.028 0.032 0.034 0.036 0.036 0.038 0.030 1/V (ml) 0.040 26 27 Graph showing plot of P vs IN