The administration of 100 mg or more of morphine (molar mass 283) to apatient would probably be lethal. Which of the following wouldyou consider to be a safe dose?Question 7Select one:a.10 ml of a 5 percent solution (w/v)b.1 ml of a 1000 micromolar solutionc.10 ml of a 10 mg/ml solutiond.0.5 ml of a 1M solutione.none of the above
Question
The administration of 100 mg or more of morphine (molar mass 283) to apatient would probably be lethal. Which of the following wouldyou consider to be a safe dose?Question 7Select one:a.10 ml of a 5 percent solution (w/v)b.1 ml of a 1000 micromolar solutionc.10 ml of a 10 mg/ml solutiond.0.5 ml of a 1M solutione.none of the above
Solution
First, let's calculate the amount of morphine in each option:
a. 10 ml of a 5 percent solution (w/v) 5% w/v means 5g of morphine in 100 ml of solution. So, in 10 ml of solution, there would be 0.5 g or 500 mg of morphine, which is lethal.
b. 1 ml of a 1000 micromolar solution 1000 micromolar is 1000 µmol/L. Since the molar mass of morphine is 283 g/mol, 1000 µmol is 0.283 g or 283 mg of morphine per liter. So, in 1 ml, there would be 0.283 mg of morphine, which is safe.
c. 10 ml of a 10 mg/ml solution This means there are 10 mg of morphine in each ml of solution. So, in 10 ml, there would be 100 mg of morphine, which is lethal.
d. 0.5 ml of a 1M solution 1M means 1 mol/L. Since the molar mass of morphine is 283 g/mol, 1 mol is 283 g or 283000 mg of morphine per liter. So, in 0.5 ml, there would be 141.5 mg of morphine, which is lethal.
So, the only safe dose among the options given is option b. 1 ml of a 1000 micromolar solution.
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