Question

13. Air in a closed cylinder is heated from 25°C to 36°C. If the initial pressure is 3.80 atm, what is the final pressure? 14. A bubble of helium gas has a volume of 0.650 mL near the bottom of a large aquarium where the pressure is 1.54 atm and the temperature is 12°C. Determine the bubble's volume upon rising near the top where the pressure is 1.01 atm and 16°C. 15. At what temperature Celsius will 19.4 g of molecular oxygen, O2, exert a pressure of 1820 mm Hg in a 5.12 L cylinder?

Answer 1

13. Given T, 25c 2 (25+273.16) K = 298.15K T2 = 362 = (36+ 273-15) K = 309.15 K P,= 3.80 atm P, P, P₂ = P, Tz P₂ = ? 7 T, = 3.808 309.15 298.is 3.940197887 ~ 3.94 atm = 3.94 atm V₂ = ? P2=1.01 atm T2=16 c = (16+ 273115) K =289.15 K 14. V, = 0.650ML = 0.650x103 L P = 1.5h atm T, =lz'c =2+273:15)*=285:15 K P2 V2 P, V, Tz Tz » V2 = P2T, 11.05 mL PV, Ti 1540 1650 X 289.15 - 1.01 X 2855 = 1.004991814 mL ~ 1.05 mL 15 pressure (P) molar mass of 2 = 32g/mol (m) mass of Oz (W) = R = 0.08206 Latanon't 1820mm mm Hg 1820 19:49 volume (V) = 5.12 L 760 atm

using PV = nRT T = PV AR 1820 X 5:12 760x19.4 X0108206 32 K -26.7°C = 246.4588924 K (246.4588924–273.15) 1 01 -26-69110758% = - 26.7°C