Students at the University of North Texas and the Universityof Washington built a car propelled by compressed nitrogengas. The gas was obtained by boiling liquid nitrogen storedin a 200.0 L tank. What volume of N2 is releasedat 0.975 atm of pressure and 25 degree C from a tank fullof liquid N2 (d = 0.808 g/mL)? _____ L Students at the University of North Texas and the Universityof Washington built a car propelled by compressed nitrogengas. The gas was obtained by boiling liquid nitrogen storedin a 200.0 L tank. What volume of N2 is releasedat 0.975 atm of pressure and 25 degree C from a tank fullof liquid N2 (d = 0.808 g/mL)? _____ L
Explanation / Answer
Pressure of gas N2 P = 0.975atm Temperature T = (25+273 ) K =298K Density of N2 gas d =0.808 g /mL We know the formula PM = dRT massof N2 gas M = dRT / P Now substitute all the values in the equation weget M . M = [(0.808 g / {mL*1.0L / 1000mL} )*(0.0821 lit .atm / mol.K) *298 K] / 0.975 atm = 20275 .2 g Now calculate volume ofN2 released form tank is V = mass (g) / density g/mL = 20275.2 g / 0.808 g /mL = 25093.0 mL V in lit = (25093.0 mL/ 1000mL)*(1.0L) = 25.09 L Volume of N 2 releasedfrom 200.0L full tank is 25.09 L.