The below table lists pressure and volume measurements for air in a cylindrical piston of an air compressor. The variables may be assumed related by: PV^k=C, where k and C are constants. Pressure (mmHg) Volume(cm3) 760. 48.3 1140 37.4 1520 31.3 2280 24.1 3040 20.0 3800 17.4 a.) First linearize the model equation and then determine the best fit values for k and C (include units and use correct significant figures). b.) What work is done by the compressor to the gas from the first measurement to the last? (for part a, I simply plugged in the values to a scatter plot and set a linear trend line, but unsure how to find values for C and k, short of assuming k=1, and then solving for C) (for part b, I took the equation of the trend line and integrated it from 48.3..17.4, is this on the right track or completely bogus?) Thanks in advance for help.