Answer:
Container 2 has the lowest average molecular speed
Container 4 has the highest average molecular speed
Step-by-step explanation:
Step 1: Data given
Atomic mass of Xe = 131.29 g/mol
Container 1: Number of moles Xe = 0.115 moles; volume = 4.87 L; temperature= 446K
Container 2: Number of moles Xe = 0.599 moles; Volume = 5.78 L; temperature= 306K
Container 3: Number of moles Xe = 0.444 moles; Volume = 2.39L; Temperature = 408K
Container 4: Number of moles Xe = 0.556 moles; Volume=2.11L; Temperature =446K
Step 2: Calculate average molecular speed
Average molecular speed V = √(8RT/πM)
→With R = he gas constant expressed in units of J/mol-K
→with T = the temperature in Kelvin
→with M = the molar mass of the gas
Average molecular speed depends on T and M
Since it's all Xenon, M is the samefor the 4 containers
Container 1:
V1 = √(8*8.314*446K/π*131.29)
V1 = 8.48
has an average molecular speed between the highest and the lowest
V2= √(8*8.314*306K/π*131.29)
V2= 7.03
has the lowest average molecular speed
V3 = √(8*8.314*408K/π*131.29)
V3 = 8.11
has an average molecular speed between the highest and the lowest
V4 = √(8*8.314*446K/π*131.29)
V4 = 8.48
Since the volume is smaller than in container 1 the average molecular speed will be a higher
has the highest average molecular speed