Vessel 1: 6 molecules-Vessel 2: 12 molecules -vessel 3: 9 molecules a)What are t

Question

Vessel 1: 6 molecules-Vessel 2: 12 molecules -vessel 3: 9 molecules a)What are the relative rates of decomposition in vessels (1)-(3)? Correct answer is 2:4:3 b)What are the relative half-lives of the reactions in vessels (1)-(3)? c)How will the rates be affected if the volume of each vessel is decreased by a factor of 2? dHow will the half-lives be affected if the volume of each vessel is decreased by a factor of 2? I do not know what to do to get the rest. Please explain your steps. Thank you.

Explanation / Answer

for a first order reaction t1/2 =ln2/k , k=n/V where v is volume a)relative rates of decomposition depends on the number of molecules,hence the rates are 6:12:9 =2:4:3. b)half lifes depend on the concentration of the molecules,hence ratio is 1/6:1/12:1/9 =6:3:4. c)rates depend on the concentration of the items,hence rates will double. d)hence the half lifes will reduce to half.

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