Question

11. the degradation profile of ampicillin, an The following data show antimicrobial drug. Time (Days) Concentration Remaining (mg/ml) 0.50 1.00 2.00 4.00 6.00 8.00 12.00 18.00 24.00 32.00 40.00 48.00 72.00 993.4 986.8 973.6 947.1 920.7 894.2 841.3 762.0 682.7 576.9 471.1 365.5 48.0 1. Plot the data on suitable graph paper and determine the order of degradation. Also calculate the rate constant and the half-life of this drug at 25°C. ii. Calculate the amount remaining after 36 days. iii. If the drug is found to be ineffective after it has decomposed by 10% or more, calculate the shelf life of this product at 25°C.
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Answer 1

Different ordar of timalics f their Basametevs Linkar grofph b debanine Tate centant Jntegrated order ofreatiou CA4LA-Kt TA tlnCA, i 1 2nd order .Gi) F feattaur oneeuratien at birna y t-y CNO: rih'w coneauratiow Of eautant Tate cons tant thihne ai'll Blol- CAl, VIA t, enCA at4 va ha panahion kith uillve anoximum Now, ave RrNalue eartion cuilll that ematind order of reae tion dnta wa platty for CA v t: ye -13. 22 +1000...(iy) RFI a CAlVIkt: y=no'6 942ナ20.-) R2: 0'844 t R0587

S R P A B C E K G [A]t(mg/ml) t(days) In[A]t 993.4 6.901133403 0.001006644 1/IA]t 0.5 2nd order Zero order 1st order 986.8 6.894467385 0.001013377 1 973.6 6.881000542 0.001027116 6.853404684 0.001055855 2 1200 0.025 8 947.1 4 1000 y=-13.22x+1000 0.02 6 6.82513425 0.00108613 R2 1 920.7 61 y=0.000x-0.001 R2 0587 800 5 894.2 6.795929464 0.001118318 0.015 600 y=-0.034x+ 7.120 R2 0844 841.3 6.734948315 0.001188637 12 3 0.01 400 762 6.635946556 0.001312336 18 2 200 0.005 682.7 6.526055524 0.001464772 1 0 24 0 0 576.9 6.357668941 0.001733403 32 0 0 40 60 80 80 20 40 60 0 40 471.1 6.155070386 0.002122692 2 60 80 40 -0.005 t(days) 365.5 5.901266279 0.002735978 48 3 t(days) t(days) 72 48 3.871201011 0.020833333 4 5 6 A]t(mg/ml) 20 In[A)t 1/Alt 20

Hare, mximuun f plat kith CA Vla follbrs 'rdes YRartion kinehs Wew, conbaivin eanah'en f)f -/322 1 m. arden of deration heastiow ordpr Pate centanr13 2,2 mg M.day 993 3) TAO 37.57 days 2 X1922 m g (ii): eanation G her, A 993 13 .dar :CAt9939-(311 x) - SI7.48 mg/w : Ameunt maing nfer g Aays is (i hen decem Beai ton ocared 10 of imibial CA, 923 r thw CAt 993y ther = 99.39 my /3.22 mf 99 343993' 1322xt 999'9 99.y 894.06 2 06/1312 6742 days thelf ife of thin froduet 767days 3 .22X :