Question

Scoring: Your score will be based on the number of correct matches minus the number of incorrect matches. There is no penalty for missing matches.

Use the References to access important values if needed for this question.
Match the gas sample on the left with a description on the right.
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0.115 moles of Xe in a 4.87 L container at a temperature of 446K
0.599 moles of Xe in a 5.78 L container at a temperature of 306K
0.444 moles of Xe in a 2.39 L container at a temperature of 408K
0.556 moles of Xe in a 2.11 L container at a temperature of 446K
has the highest average molecular speed
has the lowest average molecular speed
has an average molecular speed between the highest and the lowest

Answer 1

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