7. What volume of oxygen is required to react with 14.0 liters of propane gas to produce carbon dioxide and water? (unbalanced) C 3 H 8 + O 2 → CO 2 + H 2 O
8. The volume of a sample of gas measured at 26 C and 0.986 atm is 10.50 liters. What final temperature, in degrees Celsius, would be required to reduce the volume to 9.50 liters at constant pressure?
7. Balanced equation
C3H8 + 5O2 ------> 3CO2 + 4H2O
We know, volume is directly proportional to number of moles.
From reaction, 1.0 mol of C3H8 reacts with 5.0 mol of O2 so volume of oxygen gas required = 5.0 * 14.0 Liters = 70.0 liters
8. At constant pressure, V1 / T1 = V2/T2 ----(1)
V1 = 10.50 Liters, T1 = 26 oC = (26 + 273) K = 299 K
V2 = 9.50 Liters, T2 = ?
From (1)
T2 = V2 * T1 / V1 = 9.50 Liters * 299 K / 10.50 Liters =270.52K
T2 = (270.52 - 273) oC = -2.48 oC
Final temperature = T2 = - 2.48 oC
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