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L-deprenyl (C_13H_17NHCl) prevents the metabolism of dopamine in the brain. With

ID: 476676 • Letter: L

Question

L-deprenyl (C_13H_17NHCl) prevents the metabolism of dopamine in the brain. With increased dopamine availability in the brain, the symptoms of Parkinson's disease may subside. Assume a dose of L-deprenyl of 140 (microgram/day.kg patient weight) for treating Parkinson's patients. In one preparation. 10 mg of L-deprenyl is dissolved in 10 mL water. Assume water density to be I gm/mL. Calculate the following mass fraction of L-deprenyl the mole fraction of L-deprenyl. Number of molecules of L-deprenyl The average MW of the solution.

Explanation / Answer

given

10 mg of L- deprenyl is dissolved in 10 mL of water and denstiy of water = 1 gm/mL = 1000 mg/mL

weight of water = V * density = 10 mL * 1000 mg/mL =10000 mg of water

so 10 mg of L- deprenyl is dissolved in 10000mg of water

mass fraction = mass of L-deprenyl / mass of solution = 10 mg / (10000 + 10 ) mg = 9.99 * 10-4           Answer (a)

(b) no of moles of L-deprenyl = mass of L-deprenyl / Mol. wt of L-deprenyl =10*10-3 g/ 187.281 g /mol

                                               = 5.34*10-5 moles

      no of moles of water = mass of water / mol. wt of water = 10 g / 18 g/ mol =0.55 moles

    mole fraction of L-deprenyl = moles of L-deprenyl / total no of moles = 5.34*10-5 moles /(5.34*10-5 + 0.55)

    mole fraction of L-deprenyl = 9.708 * 10-5       (x1)                                                                Answer (b)

    mole fraction of L-deprenyl = 1- 9.708 * 10-5 = 0.9999         (x2)                                                         

(c) Number of molecules of L-deprenyl = no of moles * avagadro number = 5.34*10-5 / 6.023*1023

    Number of molecules of L-deprenyl = 8.86* 1017 molecules                                                       Answer (c)

(d) Average MW of solution = x1 * M.W1 + x2 * M.W2 = 9.708 * 10-5 * 187.281 + 0.9999* 18.02 = 18.04     Answer (d)