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Pharmacy Sterile and Non Sterile Compounding -Calculations
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How many colchicine tablets each containing 600 mcg may be prepared from 30 g of colchincine?
50,000 tablets
30 g x 1,000,000 - 30,000,000mcg / 600 mcg
The prescriber ordered atropine sulfate 0.2 mg SC q6h prn. What is the equivalent dose in micrograms?
200 mcg
0.2 mg x 1000
The physician has ordered Coumadin 5 mg to be taken on Mon, Wed, and Fri. On Tues, Thurs, Sat and Sun, the patient is to receive 2 1/2 mg. How many milligrams will the patient take in 1 week?
25 mg
5 mg x 3 days; 2 1/2 mg x 4 days
The prescriber ordered 0.05 mg of Sandostatin PO, a hormone. How many micrograms are in this dose?
50 mcg
0.05 mg x 1000
You have a 2-mL ampule of caffeine. Na benzonatate containing gr viiss. If the physican orders gr v, how many milliliters will you dispense?
1.33 mL
V= 5; VIISS = 7.5 7.5gr/2 mL = 5 gr/ XmL
How many grams of reserpine would be required to make 25,000 tablets, each containing 250 mcg of reserpine?
6.25g
250 mcg/tablet x 25,000 tablets 1,000,000 mcg/g
How many milligrams are in one tablet of Nitrostat 1/150 gr?
0.4 mg
1 gr is 65 mg 65 mg/1gr = xmg/ 1/150 gr
How many grams of antipyrine should be used in preparing the following prescription?
Rx Antipyrine 5%
Glycerin Ad 60
3.0 g of antipyrine FV - FS = IV - IS
.05 x 60 g
A pediatric patient is to be given a 70-mg dose of Dilantin by administration of an oral suspension containing 50 mg of Dilantin per 5 mL. How many milliliters of the suspension must be administered?
7 mL
50 mg / 5 mL = 70 mg / X mL
A prefilled syringe of furosemide contains 20 mg of drug in 2 mL of solution. How many micrograms of drug would be administered by an injection of 0.5 mL of the solution?
5000 mcg
20 mg / 2 mL - X mg / 0.5 mL x 1000
The usual dose range of dimercaprol is 2.5 mg to 5 mg/kg of body weight. What would be the dose range for a person weighing 165 lb?
187.5 to 375 mg
165 / 2.2 = 75 x 2.5 mg- 75 x 5 mg
How many chloramphenicol capsules each containing 250 mg of chloramphenicol are needed to provide 25 mg/kg/day of body weight for 1 week for a person weighing 154 lb?
49 capsules
154 / 2.2 X 25mg X 7 days / 250 mg per capsule
Cyclosporine is an immunosuppressive agent administered before and after organ transplantation at a single dose of 15 mg/kg. How many milliliters OF A 50-mL BOTTLE containing 100 mg of cyclosporine per milliliter would be administered to a 140 lb kidney transplant patient?
9.54 mL
140 / 2.2 = 63.63 X 15 mg = 954.54
100 mg/ mL = 954.54 / X mL
How many milliliters of aminophylline injection containing 250 mg in each 10 mL should be used in filling a medication order calling for 15 mg of aminophylline?
0.6 mL
250 mg / 10 mL = 15 mg/ X mL
The dose of a drug is 500 mcg/kg of body weight. How many milligrams should be given to a child weighing 55 lb.
12.5 mg
55 / 2.2 x 500 mcg / 1000
The antiviral ophthalmic drug fomivirsen sodium (Vitravene) has been ordered by the physician 330 mcg. The vial is labeled 6.6 mg/mL. How many milliliters contain the prescribed dose?
0.05 mL
330 mcg / 1000
6.6 mg/ mL = 0.660mg / X mL
The physician ordered 0.725 mg of droperidol (Inapsine) IV stat. The vial reads 2.5 mg in 2 mL. Calculate the amount of drug you will administer to this patient in milliliters.
0.58 mL
2.5 mg / 2 mL - 0.725 mg / X mL
a Patient is to receive a 100-mg dose of gentamicin. The medication is available in an 80-mg/mL vial. How many milliliters should the patient receive?
1.2 mL
80mg/mL = 100 mg/ X mL
A drug has a concentration of 20 mg/mL. How many grams of the drug are in 1/2 L of the solution?
10 g
20 mg / 1000 0.5 mL x 1000
0.02g / 1 mL = Xg / 500 mL
A dose of antacid is 1 tbsp. How many doses can be prepared from a pint bottle?
32 doses
1 Tbsp = 15 mL 1 pt = 480 mL
15 mL/1 dose = 480 mL / X doses
You are to prepare a dose of 300 mg and the tablets are available in 75-mg strength. How many tablets will the pharmacist need to dispense if the patient is to take 300 mg bid for 1 week?
56 tablets
75 mg dose/1 tablet = 300 mg dose / X tablets = 4
4 x 2 x 7
What is the percent of a 1:25 (w/V) solution?
4%
1/25 x 100
What is the percent of a 1:200 (w/w) ointment?
0.5%
1/200 x 100
Convert 25 C to F
77
25 x 1.8 + 32
Convert 65 F to C
18.33
65-32 / 1.8
Convert 40 C to F
104
40 x 1.8 + 32
Convert 45 F to C
7.2
45-32 / 1.8
The drug vial contains 1,000,000 units of penicillin G. The label directions state: Add 2.3 mL of sterile water to the vial, 1.2 mL = 500,000 units. How many milliliters equal 200,000 units?
0.48 mL
500,000 units/ 1.2 mL = 200,000 units / X mL
A patient is to receive 25 units of the hormonal drug vasopressin (Pitressin) IM. If the label reads 50 units per 2 mL, how many milliliters will you administer to the patient?
1.0 mL
50 units/ 2 mL - 25 units / X mL
The prescriber ordered 175,000 units of urokinase IVPB. The vial directions read: "Add 4.2 mL to vial and each mL will contain 50,000 units. "How many milliliters will you prepare?
3.5 mL
50,000 units / 1 ml = 175,000 units / X mL
The order is for K-Lor 60 mEq PO stat. Each packet contains 20 mEq. How many packets of K-Lor
3 packets
20 mEq/ 1 = 60 mEq/ X
A 20% KCI solution has a strength of 40 mEq/tbsp. How many milliliters need to be dispensed for the patient to receive 20 mEq?
7.5 mL
40 mEq/tbsp. = 20 mEq/ X mL
If the dose of a drug is 150 mcg, how many doses are contained in 0.120 g?
800 doses
.0.120g x 1,000,000 = 120,000mcg / 150 mcg
If a physician prescribed cephalexin 250 mg qid for 10 days, how many milliliters of cephalexin oral suspension containing 250 mg/tsp should be dispensed?
200 mL
250 mg X 4 X 10 5mL x 4 x 10 days
A 25-lb child is to receive 4 mg of phenytoin per kg of body weight as an anticonvulsant. How many milliliters of pediatric phenytoin suspension containing 30 mg/5 ml should the child receive?
7.5 mL
25 / 2.2 = 11.36 x 4 = 45.45 / X mL 30 mg/ 5 mL
If a 3-year-old child weighing 33 lb accidentally ingested 20 81-mg aspirin tablets, how much aspirin did the child ingest on a milligram per kilogram basis?
108 mg/kg
33/ 2.2 = 15 kg 20 x 81mg/tab = 1620 mg
1620 mg/15 kg = X mg / 1 kg
The usual pediatric dose of cefazolin sodium is 25 mg/kg/day divided equally into three doses. What would be the single dose in milligrams for a child weighing 44 lb?
166.67 mg/kg
44 / 2.2 = 20 kg X 25 mg = 500 mg / 3 doses
If a child is 4 years old and the adult dose of medication is 100 mg, how much medication should the child receive?
25 mg
4 / 4+12 X 100 mg Young's rule
If a child is 36 months old and the adult dose is 250 mg, how much medication should the child receive?
50 mg
36 mo / 12 mo/ year = 3 year or 3 / 3+12 x 250 mg
Young's rule
If a child is 2 1/2 years old and the adult dose is 100 mg, how much medication should the child receive?
17 mg
2.5 / 2.5 + 12 x 100 mg Young's rule
If a child weighs 45 lb and the adult dose is 50 mg, how much medication should the child receive?
15 mg
45/150 x 50 mg Clarks Rule
If a child weighs 50 lb and the adult dose is 1 tbsp, how many milliliters should the child receive?
5 mL
50 / 150 X 15 mL Clark's Rule
If a child weighs 60 lb and the adult dose is 500 mg, how many milligrams should the child receive?
200 mg
60 / 150 x 500 mg Clark's Rule
If a child weighs 15 kg and the adult dose is 75 mg, how many milligrams should the child receive?
16.5 mg
15 x 2.2 = 33 (33/150) x 75 mg Clark's Rule
if 125 mL of liquid weighs 95 g, what is its specific gravity?
0.76 mL SG
w/v 95/125
A volume of fluid weighs 80 g and has a specific gravity: of 1.05. What is the volume?
76 mL SG
1.05 = 80/X
How many grams are in 100 mL of a liquid if its specific gravity is 1.25?
125 g SG
1.25 = X/100
What is the specific gravity of a substance that weighs 60 g and occupies a volume of 75 mL?
0.8
SG = 60/75
How many grams of silver nitrate are needed to make 1 L of a 0.25% solution?
2.5 g.
1 L = 1000 mL x .0025
A pharmacist has received an order to prepare 1 lb of 5% (w/w) salicylic acid ointment. How much salicylic acid is needed to prepare this ointment?
2.27 g
1 lb = 454 g x 0.05
How many grams of NaC1 are in 250 mL of 1/2 NS (0.45%)?
1.125 g
.0045 x 250 mL
How many grams are in 1 L of a 1:200 solution?
5 g
1:200 = 0.05 x 1 L = 1000 mL
How many micrograms are in 1.0 mL of a 1:100 solution?
10,000 mcg
1:100 = 0.01(g=mL) X 1000 = (1000mg/1g)(1000 mcg/1mg)
If a pharmacist adds 3g of hydrocortisone to 120 g of a 5% hydrocortisone cream, what is the final percentage strength of hydrocortisone in the product?
4.88% IS IW= FS FW
IS =5% IW = 120g FS = X FW = 123 g
How many 600-mg ibuprofen tablets will be needed to make 8 oz of a 15% ointment?
60 tablets
8 oz is approximately 240g 240 g X .15 = 36 g or 36,000 mg/ 600 mg
How many milliliters of a 3% (w/v) solution will be necessary to make 6 oz of a 1:200 solution?
30 mL IS IV = FS FV
IS = 3% IV = X FS 1:200 (0.5%) FV 6 oz x 30 mL = 180mL
A stock bottle of Lugol solution contains 2 oz from the original pint bottle. The pharmacy technician is able to prepare four 8-oz bottles of a more dilute 4% solution. What was the original percentage strength of the Lugol solution?
64% IS IV = FS FV
IS = X IV = 2 oz FS - 4% FV = 32 oz
You receive an order for 125 mL of 4% acetic acid solution and you have in stock 75% acetic acid solution. How many milliliters of the 75% solution will you need?
6.67 mL IS IV = FS FV
IS = 75% IV = X FS = 4% FV = 125mL
If 100 mL of 25% (w/v) Solution is diluted to 1 L, what will be the percentage strength (w/v)?
2.5% IS IV = FS FV
1L = 1000 mL IS= 25% IV= 100 mL FS = X FV= 1000 mL
You are asked to prepare 80 mL of a 72% lidocaine solution, and you have in stock a 75% solution. How many milliliters of the 75% solution will you use?
76.8 mL IS IV = FS FV
IS = 75% IV = X FS = 72% FV = 80 mL
The formula for a buffer solution contains 1.24% (w/v) of boric acid. How many milliliters of a 10% (w/v) boric acid solution should be used to obtain the boric acid needed in preparing 1 gal of buffer solution?
476 mL IS IV = FS FV
1 gallon = 3840 mL
IS = 10% IV = X FS = 1.24% FV = 3840mL
How many grams of Eucerin should be added to 4 oz of a 10% ointment to make a 7% ointment?
51 g IS IW = FS FW
IS = 10% IW = 120g FS = 7% FW = X
You are asked to prepare 50 mL of a 1:100 rifampin suspension, and you have in stock a 1:20 rifampin suspension. How many milliliters of the 1:20 suspension will you need?
10 mL= IV
IS = 1:20, IV = X FS = 1:100 and FV = 50mL
You are asked to prepare 125 mL of a 1:8 nystatin suspension, and you have in stock a 1:6 solution. How many milliliters of the 1:6 bystatin solution will you need?
91.94 mL= IV
IF = 1:6, IV= X, FS = 1:8 and FV = 125 mL
You are asked to prepare 50 mL of a 1:3 folic acid solution, and you have in stock a 1:2 solution. How many milliliters of the 1:2 solution will you use?
33 mL = IV
IS = 1:2, IV - X, FS = 1:3 and FV = 50mL
How may milliliters of a 1:50 (w/v) stock solution of a chemical should be used to prepare 2 L of a 1:4000 (w/v) solution?
25 mL. = IV
IS = 1:50, IV = X, FS = 1:4000, and FV = 2000 mL
How many milliliters of water should be added to 500 mL of a 1:2000 (w/v) wolution to make a 1:5000 (w/v) solution?
750 mL dilution
IS = 1:2000, IV = 500 mL, FS = 1:5000 and FV = X
1250mL - 500 mL = 750 mL of dilution
How much water should be added to 1 quart of 70% isopropyl alcohol to prepare a 20% solution for soaking sponges?
2400 mL dilution
IS = 70%, IV = 960 mL, FS = 20% and FV = X
3360 mL - 960 mL = 2400 mL
How much metoclopramide 5 mg/mL is used to make 10 mL of 0.5 mg/ mL solution?
1 mL dilution
IS = 5g/mL, IV = X, FS = 0.5 mg/mL, FV = 10 mL
Prepare 15 ml of cefazolin dilution 50 mg / mL from a stock of 1 g/5 mL. How many milliliters of the diluent and cefazolin will be needed?
3.75mL of cefazolin; 11.25 mL of dilution
IS = 1g/5 mL, IV = X, FS = 50mg/mL, FV = 15 mL
15 mL - 3.75mL = 11.25 mL
Make 30 mL of a vitamin B12 dilution with a concentration of 100 mcg/ mL from a stock solution of 1 mg/mL. How much vitamin B 12 and diluent are needed?
3 ml of vitamin B12 and 27 mL of dilution
IS = 1mg/mL IV = X, FS = 100 mcg/mL, and FV = 30 mL
30 mL - 3 mL = 27 mL
You are asked to prepare 36 mL of a 1:4 Bactrim solution, and you have in stock 30% solution, How many milliliters of the 30% solution will you use?
30 mL
1:4 =25% IS = 30%, IV = X, 25%, and FV = 36 mL
You are asked to prepare 52 mL of a 28% Flagyl solution, and you have in stock 42 g/mL solution. How many milliliters of the 42 g/mL will you use?
0.35 mL
0.28 g/mL IS = 42g/mL, IV = X, FS = 0.28 g/mL, and FV = 52 mL
How many milliliters of a 1/2% solution of gentian violet should be used in preparing 500 mL of a 1:100,000 solution?
1 mL dilution
1:100,000 = 0.001% IS = 0.5%, IV = X, FS=1/100,000 and
FV = 500 mL
How many milliliters of a 5% stock solution are needed to prepare 1 pint of a solution containing 100 mg of the chemical per liter?
960 mL
100mg/1000mL to a percent which is 0.01%
How many milliliters of a 95% (v/v) alcohol should be used in preparing 1 pint of 75% (v/v) solution?
379 mL
IS = 95%, IV = X, FS = 75%, and FV is 480 mL
In what proportions should alcohols of 95% and 50% strengths be mixed to prepare 250 ml of a 70% alcohol solution?
95 % 5:9; 50% 4:9
How many milliliters of a 1;2000 iodine solution an d a7.5% iodine solution are needed to make 120 ml of a 3.5% solution?
7.5% 55.6 mL; 1:2000 64.4 mL
How many milliliters of a 2.5% (w/v) chlorpromazine hydrochloride injection and how many milliliters of a 0.9% (w/v) sodium chloride injection should be used to prepare 500 mL of a 1.25% (w/v) chlorpromazine hydrochloride injection?
25% - 109 mL; 0.9 - 391 mL
How much 10% dextrose solution and 20% dextrose solution should be mixed to prepare 1 l of 12.5 % dextrose solution?
20% - 250 mL; 10% - 750 mL alligation
In what proportion should 5% and 1% hydrocortisone ointments be mixed to prepare a 2.5% ointment?
5% - 1.5 parts; 1% - 2.5 parts alligation
Prepare 300 mL of 7.5% dextrose using SWFI and D20W. How much of each is needed?
20% - 112.5 ml; SWFI -187.5 mL alligation
Prepare 500 mL of D12.5W. You have on hand D5W, D10W, and D20W. How much of which two solutions will you use?
alligation
20% and 5% - 250mL; 20% - 125 mL, 10% - 375 mL
How many grams of a 2.5% hydrocortisone cream should be mixed with 240 g of a 0.25% hydrocortisone cream to make a 1% cream?
120 g alligation
360 g - 240 g = 120 g
What is the total volume that will be delivered if a patient receives normal saline solution at 25 mL/hr for 24 hr?
600 mL
25 mL/hr x 24 hr
Calculate the flow rate to be used to infuse 1000 mL of NS over 8 hours if the set delivers 10 gtt/ mL.
125 mL/hr
1000 mL / 8 hrs
1 L NS is to be administered over 24 hr. The administration set to be used has a DF of 15 gtt/mL. What is the rate of infusion in
a. mL/hr
b. gtt/min
a. 41 mL/hr 1000 mL/24 hr = 41 hr
b. 10 gtt/min 41 ml/hr X 15 gtt/ mL X 60 min = 10gtt/min
1500 mL TPN solution is given IV at 75 mL/hr using an administration set with a drop factor of 20 gtt/mL. If the infusion starts at 0900 hours, when will it end?
0500 hr
1500 mL / 75 mL/hr = 20 mr.
First bag 0900 will last 20 hours 0900 + 2000 hr - 2400 hr/day + 0500 hr next day
Medication: solu-Cortef 250 mg
a. Fluid volume: 250 mL
b. Time of infusion: 4 hr
c. How many ml/hr? How many mg/hr/
62.5 mL
250 mL / 4 hr = 62.5 mL/hr
250 mg/40 hr = 62.5 mg
How many milliliters of IV fluid will a patient receive if infused at the rate of 120 mL/hr over 3 1/2 hr?
420 mL
120 mL/hr x 3 1/2 hr = 420 mL
What will be the rate in gtt/min if a patient receives 1 L of an IV fluid over an 8-hr period if the drop factor = 15 gtt/mL
31 gtt/min
1000 mL / 8 hr X 15 gtt/mL X 60 min = 31 gtt/min
If 1000 mL at 20 drops/min is administered using a 15-drop set, what is the flow rate in milliliters per hour?
80 mL/hr.
20 gtt/min / 15 gtt/mL X 60 min = 80 mL/hr
If 500 mL of an IV solution contains 0.1 g of a drug, at what flow rate in milliliters per minute should the solution be administered to provide 1 mg/min of the drug?
5 mL/min
500 mL / 100 min + 5 mL/min
An initial heparin dose of not less than 150 units/ kg of body weight has been recommended for open heart surgery. How many milliliters of an injection containing 5000 heparin units per milliliter should be administered to a 280 lb-patient?
3.82 mL
280 / 2.2 = 127.27 kg X 150 units/kg = 19,095 units
5000 units/ mL ; 19,095 units/ X mL = 3.82 mL
An IV piggyback of lincomycin containing 1 g of drug in 100 mL is to be infused over 1 1/2 hours. The IV set is calibrated to deliver 15 gtt/mL. How many drops per minute will the patient receive?
16 gtt,/min
1000 mL / 1.5 hr = 66 mL/hr X 15 gtt/mL X 60 min = 16 gtt/min
An IV piggyback of pentamidine isethionate containing 300 mg of drug in 150 ml of D5W is to be infused over 2 hr. The IV set is calibrated to deliver 20 gtt/mL. How many drops per minute should be administered?
25 gtt/min
150 mL/2hr + 75 mL/hr X 20 gtt/mL X 60 min = 25 gtt/min
An IV piggyback of enalapril maleate containing 10 mg of drug in 50 ml of 0.9% sodium chloride injection is to be infused over 1 hour. The IV set is calibrated to deliver 15 gtt/mL. How many drops per minute should be administered?
12 gtt/min
50 mL/hr X 15 gtt/mL X 60 min = 12 gtt/min
A physician orders 3 L D5W to be administered over 24 hr. How many drops per minute will be delivered using an administration set calibrated to deliver 30 drops per milliliter?
62 gtt/min
120 mL/hr X 30 gtt/mL x 60 min = 62 gtt/min
RX:
Hydrocodone bitartrate 0.2 g
Phenacetin 3.6 g
Aspirin 6.0 g
Caffeine 0.6 g
M ft caps no 24
Sig I cap tid prn pain
a. How many milligrams of hydrocodone bitartrate would be contained in each capsule?
b. What is the total weight, in milligrams, of the ingredients in each capsule?
c. How many milligrams of caffeine would be taken daily?
a. 8.33 mg/capsule 0.2 g/24 capsules = 0.00833 g capsule X 1000 = 8.33 mg/cap
b. 430 mg per capsule 10.4 g / 24 capsules. 0.43 g X 1000 = 430 mg/capsule
c. 75 mg. 0.6 g / 24 capsules= 0.025 g of caffeine/capsule X 1000 = 25 mg 25 mg of caffeine/capsule X 3 capsules = 75 mg
RX:
Carafate 400 mg/5 mL
Cherry syrup 40 mL
Sorbitol solution 40 mL
Flavor qs
Purified water ad 125 mL
Sig: 5 mL tid
How many 1-g Carafate tablets should be used in preparing the prescription?
10 1-g Carafate tablets
400 mg/5 mL = X mg/125 mL
10,000 mg total quantity / 1000 = 10
From the following formula for iodine topical solution, USP, calculate the number of grams of iodine needed to prepare 12 dozen 15-mL containers of the solution.
Iodine 20 g
Sodium iodide 24 g
Purified water ad 1000 mL
43.2 g of iodine 51.84 g of sodium iodide.
12 X 12 bottles / 15 mL = 2160 mL
TQN / QRF X amt of ingredient 2160 mL/1000 mL x 20 g
2160 / 1000 mL x 24 g
From the following formula, calculate the quantities to make 120 mL of benzyl benzoate lotion
Benzyl benzoate 125 mL
Triethanolamine 2.5 mL
Oleic Acid 10 mL
Purified water, 500 mL
TQN/QRF X Amount of each ingredient
120 mL / 500 mL X 125 mL = 30 mL of benzoate
120 mL/500 mL X 2.5 ml = 0.6 mL of thiethanolamine
125 ml/500 mL x 10 ml = 2.4 mL of oleic acid
Each 5 ml of a pediatric cough syrup is to contain the following amounts of medications. Calculate the amount of each ingredient to prepare a gallon of the syrup.
Dextromethorphan hydrobromide 7.5 mg
Guaifenesin 100 mg
Flavored syrup to make 5.0 mL
Dextromethorphan 5760 mg (5.76 g)
Guaifenesin 76,800 mg (76.8 g)
Flavored syrup 5.0 mL 3840 mL
TQN/QRF 3840 mL/5Ml x 7.5 mg = 5760 mg (5.76 g)
3840 ml / 5 ml x 100 mg = 76,800
The following is a formula for psoriasis ointment (International Journal of Pharmaceutical Compounding 2;305, 1998) Calculate, in grams, the quantity of each ingredient needed to make 1 lb of the ointment
Coal Tar 2.0 g
Precipitated sulfer 3.0 g
Salicylic acid 1.0 g
Lidex ointment 24.0 g
Aquabase 70.0 g
one pound = 454 g TQN/QRF x each ingredient
454 g/100 g = 4.54 x each ingredient
9.08g of coal tar
13.62 g precipitated sulfur
4.54 g salicylic acid
108.96 g Lidex ointment
317.8 g of Aquabase
The following is a formula for 100 triple-estrogen capsules (International Journal of Pharmaceutical Compounding 1:187, 1997) Calculate the quantities of the first three ingredients in grams and the last two ingredients in kilograms required to prepare 2500 capsules.
Estriol 200 mg
Estrone 25 mg
Estradiol 25 mg
Polyethylene glycol 145,020 g
Polyethylene glycol 335,020 g
TQN/QRF x amount of each ingredient
5 g Estriol =2500 caps / 100 caps x 200 mg
0.625 of estrone
0.625 of estradiol
14,800.5 kg Polyethylene glycol 1450
33,500.5 kg Polyethylene glycol 3350
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