24.9 L of gas at 48.4 °C and 675 mm Hg are heated to 175 °C, and the pressure is changed to 403 mm Hg. What is the new volume?

Answer 1

Given

Initial volume (V1) = 24.9 L

Initial temperature (T1) = 48.4C + 273 = 321.4K

Initial pressure (P1) = 675 mm Hg

Final temperature (T2) = 175C + 273 = 448K

Final pressure (P2) = 403 mm Hg

Asked to find

Final volume (V2)

Procedure

Use the combined gas law

P1V1/T1 = P2V2/T2 and solve for V2

(675)(24.9)/321.4 = (403)(V2)/448

V2 = 58.2 L