Suppose that you measured the product PV of 1 mol of a dilute gas and found that PV = 24.35 L atm at 0.00°C and 33.54 L atm at 100.°C. Assume that the ideal gas law is valid, with T = t(°C) + a, and that the values of R and a are not known. Determine R and a from the measurements provided.