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.5 ml of a 2 percent solution (w/v)b.5 ml of a 0.1 M solutionc.10 ml of a 1g/L solutiond.8 ml of a 50 mM 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.5 ml of a 2 percent solution (w/v)b.5 ml of a 0.1 M solutionc.10 ml of a 1g/L solutiond.8 ml of a 50 mM solutione.none of the above
Solution
First, we need to calculate the amount of morphine in each solution:
a. 5 ml of a 2 percent solution (w/v) This means there are 2g of morphine in 100ml of solution. So, in 5ml of solution, there would be 0.1g or 100mg of morphine, which is a lethal dose.
b. 5 ml of a 0.1 M solution Molarity is moles of solute per liter of solution. So, 0.1M means there are 0.1 moles of morphine in 1 liter of solution. Since the molar mass of morphine is 283g/mol, this means there are 28.3g of morphine in 1 liter of solution. In 5ml of solution, there would be 0.1415g or 141.5mg of morphine, which is more than a lethal dose.
c. 10 ml of a 1g/L solution This means there is 1g of morphine in 1 liter of solution. So, in 10ml of solution, there would be 0.01g or 10mg of morphine, which is a safe dose.
d. 8 ml of a 50 mM solution Molarity is moles of solute per liter of solution. So, 50mM means there are 50 moles of morphine in 1 liter of solution. Since the molar mass of morphine is 283g/mol, this means there are 14.15g of morphine in 1 liter of solution. In 8ml of solution, there would be 0.1132g or 113.2mg of morphine, which is more than a lethal dose.
So, the only safe dose from the options given is 10 ml of a 1g/L solution.
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