Pharmaceutical Calculations (part 3), Exercises of Pharmacy

includes the basic maths one needs to know for formulation drugs in pharmacy

Typology: Exercises

2021/2022

Uploaded on 12/11/2022

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Chapter: Pharmaceutical Calculations
Lecture-3
21. A solution (100 mL) that contains 409.5 mg of NaCl/100 mL has how many mEq of Na+
and Cl-?
Solution
We know, mEq = mmol/valence
According to question, amount of NaCl in the solution= 409.5 mg= 0.4095 g
and MW of NaCl is (23+35.5) = 58.5 g/mole
therefore, no. of moles of NaCl in solution= mass/M.W= 0.4095g÷58.5 g/moles= 7x10-3 moles
We also know, 1 mole= 1000 milli moles (mmol)
So, 7x10-3 moles= 7 mmol
Now, as per the equation of mEq, we get, mEq= mmol/valence
Therefore, mEq of Na+ = 7÷1=7 mg equivalent (Ans.)
Similarly, mEq of Cl- = 7÷1=7 mg equivalent (Ans.)
22. What is the Equivalent wt of ferrous ion (Fe2+) which has a gram atomic
weight of 55.85?
Solution:
We know, Equivalent weight=molar mass ÷ total charge on cation or anion
1 mole Fe2+ = 55.85 g= molar mass of Fe2+
So, Equivalent weight = 55.85/2
= 27.925 gram equivalent (Ans.)
23. How many mEq of Na are in 60 ml of an 5% solution saccharine (g mol wt: 241 g,
valence:1)?
Solution:
Amount of Na is 5% in 60 ml
100 ml solution contains = 5 gm Na
60 ml solution contains = 5X60/100 gm Na = 3 gm
Moles of Na present in saccharine= 3 g ÷ 241 g/moles= 0.0124 moles
= 12.4 mmol
Now we know, mEq = mmol/valence
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Chapter: Pharmaceutical Calculations Lecture- 3

  1. A solution (100 mL) that contains 409.5 mg of NaCl/100 mL has how many mEq of Na+ and Cl-? ❑Solution We know, mEq = mmol/valence According to question, amount of NaCl in the solution= 409.5 mg= 0.4095 g and MW of NaCl is (23+35.5) = 58.5 g/mole therefore, no. of moles of NaCl in solution= mass/M.W= 0.4095g÷58.5 g/moles= 7x10-^3 moles We also know, 1 mole= 1000 milli moles (mmol) So, 7x10-^3 moles= 7 mmol Now, as per the equation of mEq, we get, mEq= mmol/valence Therefore, mEq of Na+^ = 7÷1=7 mg equivalent (Ans.) Similarly, mEq of Cl-^ = 7÷1=7 mg equivalent (Ans.) 2 2. What is the Equivalent wt of ferrous ion (Fe2+) which has a gram atomic weight of 55.85? ❑Solution: We know, Equivalent weight=molar mass ÷ total charge on cation or anion 1 mole Fe^2 +^ = 55. 85 g= molar mass of Fe^2 + So, Equivalent weight = 55.85/ 2 = 27.925 gram equivalent (Ans.)
  2. How many mEq of Na are in 60 ml of an 5% solution saccharine (g mol wt: 241 g, valence:1)? ❑Solution: Amount of Na is 5% in 60 ml ❑100 ml solution contains = 5 gm Na ❑60 ml solution contains = 5X60/100 gm Na = 3 gm Moles of Na present in saccharine= 3 g ÷ 241 g/moles= 0.0124 moles = 12.4 mmol Now we know, mEq = mmol/valence

Therefore, mEq of Na in saccharine= 12.4 ÷ 1 = 12.4 mg equivalent (Ans.).

  1. Morphine hydrochloride solution contains 1 gram of morphine hydrochloride per 100 ml. The solubility of morphine (monohydrate) is about 1 in 5000. How much percentage (w/v) of official solution will not precipitate? MW of morphine monohydrate and morphine hydrochloride is 303.4 g, 375.9 g respectively. ❑Solution: 375.9 gm Morphine HCl is equivalent to 303.4 gm Morphine monohydrate 1 gm Morphine HCl = 303.4X1/375.9 gm or 0.807 gm Morphine Monohydrate According to the solubility of Morphine Monohydrate, we get, 5000 ml solution can dissolve = 1 gm Morphine Monohydrate 100 ml solution can dissolve = 100X1/5000 gm or 0.02 gm Morphine Monohydrate [0.02 gm Morphine Monohydrate = Percentage of 1 gm Morphine HCl dissolved in 100 ml] Therefore, % (w/v) of official solution that won’t precipitate= (0.02 x 100) ÷ 0.807 = 2. So, 2. 48 % of official solution will not precipitate (Ans.)
  2. Opium tincture contains 10 milligrams of morphine, calculated as anhydrous morphine, in 1 ml. The solubility of morphine (monohydrate) is about 1 in 5000. How much percentage of official opium tincture will not precipitate in water under alkaline condition? MW of morphine monohydrate is 303.4 g. ❑Solution : MW of Morphine monohydrate is 303.4 g MW of Anhydrous morphine = 303.4 – 18 = 285. 285.4 mg of anhydrous morphine is equivalent to 303.4 mg of Morphine monohydrate 10 mg or 0.01 g of anhydrous morphine is equivalent to 303.4X 0 .01/285.4 g or 0.0106 g of Morphine monohydrate ------------------- (i) According to the solubility of Morphine Monohydrate, we get, 5000 ml solution can dissolve = 1 gm Morphine Monohydrate 100 ml solution can dissolve = 1X100/5000 gm or 0.02 gm Morphine Monohydrate Therefore, 0.02 g Morphine monohydrate can be dissolved in 100 ml And from equation (i) we got, 10 mg or 0.01 g of anhydrous morphine, which is equivalent to 0.0106 g of Morphine monohydrate is dissolved in 1 ml (given in question) we can also write, (0.0106x10 0 = 1.06) g Morphine monohydrate is dissolved in 100 ml