Question

please help me solve this thermodynamics problem

A2 ft rigid cylinder contains nitrogen initially at 50°F and 35 psig. More nitrogen is added to the container until conditions reach 100°F and 230 psig at which time the inlet valve is closed and the contents allowed to cool to the original temperature of 50°F. Calculate the mass of nitrogen added to the tank and the final pressure in the cylinder.

please help me solve this thermodynamics problem

Answer 1

MECHANICS For this quation we use the ideal gas equation PAS PUERRT now, P, = 35 psig = 2 ft² U₂ = Us = 49.7 psia - 100% T = 50°F = 559.67°R = 509.67°R P₂ =230psig = 245.7psia T₂=559.67°R = 100°F Tz = 50°F = 50%67°R R = 10.73 psi ft3/lbnal R PU, = nRT, NEP, Vi-49.7*2 RT 10.73X509.67 -0.0181 lbmall D = P2 U2 - 246.7x2 RT2 10.73% 559.67 - 0.0815 Ibral

ERSE HOLE OTH no ab lo malos added 1₂-n. -0.0815 - 0 lei 20:0634 Ibral = 28.76 anal i mass of out Ne added = 28.76X 14 2 402.649 now, nqz no : P₂ Ug = R & R Tz : Pg = ng R Tz =0.08158 10.73X 509.67 2 = 222.85 psia - 208.15 psig