13099.01 F ­9 AVAILABLE MARKS 8 (a) (i) For a fixed mass of gas at constant temperature [1] the pressure of the gas is inversely proportional to the volume or product of p and V is constant [1] [2] (ii) A horizontal line below the original line [1] (b) P1V1 T1 P2V2 T2 = [1] 286 311 T 326 = correct pressures [1] correct temperature [1] T = 300 [1] 300 – 273 = 27 °C ecf for T [1] [5] (c) (i) KE = 3/2kT = 3/2 × 1.38 × 10–23 × 286 [1] = 5.92 × 10–21 J [1] [2] (ii) pV = nRT or Pv = NkT [1] 311 × 103 × 1.03 × 10–2 = n × 8.31 × 286 [1] n = 1.35 moles [1] 1.35 × 6.02 × 1023 = 8.11 × 1023 molecules [1] 5.92 × 10–21 × 8.11 × 1023 = 4800 J [1] Alternative use of pv = 1/3 Nm <c^2> [1] 3/2 pv = 1/2 Nm <c^2> [1] 3/2 pv = 1/2 M <c^2> [1] sub p and v [1] ans [1] [5] 15 Total 100