experimental Methodology..... will upvote

Problem No. 4 (30 Points) The density p of the air contained in a pressurized tank is to be calculated by measuring the pressure P and the temperature T inside the tank. Density of the air in the tank calculated is to be from the ideal gas law: P = PRT with constant value of R = 287 for air. kgK The temperature is measured from a readout device with the following specifications: Accuracy: 1% of reading & Resolution: 10 K. The pressure is to be measured with a pressure transducer and a voltmeter: Pressure Transducer FSO: 0-10 Volts, Sensitivity: 100(10) Pascal/Volt (Pa/V), Linearity error: 5% of the reading, Hysteresis error: 0.5% FSO Voltmeter Accuracy: 1% of reading & Resolution: 0.1 millivolts. If the nominal temperature reading is 500 K and the nominal pressure is 500(10) Pa, calculate the nominal density, and the uncertainty in density (Hint: When using the ideal gas law, the pressure must be in Pa and the temperature must be in K. The density will end up being in kg/m)