i need expain for number 31 the answer should be 180 days. L mormin,How long wil

Question

i need expain for number 31 the answer should be 180 days.

L mormin,How long wilt The rate constant for the reaction 3A+4B is 600 ×10 take the concentration of A to drop from 0.75 M to 0.25 30. A. 2.2 10 min B. 5.5x 10 min C. 180 min D 440 min E. 5.0×10) min 31. The active ingredient in an over-the-counter pain killer analgesic decomposes with a rate constant, k-905 x 10-sday. I low many days does it take for 15% ofthe original ingredient to decompose? A. 730 days B 414 days C. 365 days D. 180 days E 78 days Butadienc, CaHe (used to make synthetic rubber and latex paints) reacts to CsHiz with a rate law of rate -0.014 mol s)[C4H. What will be the concentration of Cas after 3.0 hours if the initial concentration is 0.025 A. 0.0052 M B. 0.024 M C. 43 MM D. 190 M E. 0.0000M 32. : what is the The rate law for the reaction 3A C is Rate-436x10 2 L molthril half-life for the reaction if the initial concentration of A is 0.250 M A. 0.0109 hr B. 0.0629 hr C. 15.9 hr 33. D. 23.9 hr E 91.7 hr 34. The decomposition of SOCl; is first-order in SOCh. If the halt-life for the reaction is 4.1 hr to 0.045 A how long would it take for the concentration of SOCle to drop from 0.36 A. 0.52 hr B. 1.4 hr C. 12 hr D. 33 hr E 40 hr

Explanation / Answer

Ans 31 : d ) 180 days

The unit of K suggests that the reaction is 1st order reaction.

Now let the initial amount of sample be 100 g , so after its 15% decomposition , the final amount of sample left will be = 100 - (100 x 15)/100 = 85 g

Now , t = 2.303/K log [Ro]/[R]

So putting all the values we get :

t = 2.303 / (9.05 x 10-4) log (100)/ (85)

t = 180 days

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