The administration of 100mg or more of morphne (molar mass 283) to a patient would be lethel. which of the following would you consider to be a safe dose.
a. 1ml of a 1 percent solution (w/v)
b. 1ml of a 0.05 M solution
c. 1ml of a 100ml/mg solution
d. 0.5ml of a 1M solution
e. none of the above
and
The adminitration of 100mmoles or more of potassium ions to a patient would probably be lethal. which of the following would you consider to be a safe dose of potassium chloride (molar mass 74.55).
a. 100ml of a 20 percent solution
b.50ml of a 2M solution
c.25ml of a 10/100ml solution
d. 140ml of a 1M solution
e. none of the above
For the safe dose of morphine:
a. 1ml of a 1 percent solution (w/v)
To calculate the amount of morphine in this solution, we need to convert the concentration from a percentage to mg/ml.
1 percent solution means that there is 1g (1000mg) of morphine in 100ml of solution.
So, 1ml of this solution would contain (1000mg/100ml) = 10mg of morphine.
Therefore, a safe dose would be 10mg or less.
b. 1ml of a 0.05 M solution
The molar mass of morphine is 283g/mol. Therefore, a 0.05 M solution means there are (0.05 moles/L * 283g/mol) = 14.15g/L of morphine.
To convert it to mg/ml, we divide by 1000, so 1ml of this solution would contain (14.15mg/ml).
Therefore, a safe dose would be 14.15mg or less.
c. 1ml of a 100mg/ml solution
In this case, 1ml of the solution contains 100mg of morphine.
Since the safe dose should be less than 100mg, this concentration is not safe.
d. 0.5ml of a 1M solution
A 1M solution means there is 1 mole of morphine in 1 liter of solution.
So, the amount of morphine in 0.5ml of this solution would be (0.5/1000 L * 1 mole/L * 283g/mole) = 0.1415g = 141.5mg.
Therefore, a safe dose would be 141.5mg or less.
Based on these calculations, the safe option for the dose of morphine would be option a. 1ml of a 1 percent solution (w/v).
For the safe dose of potassium chloride:
a. 100ml of a 20 percent solution
A 20 percent solution means there is 20g (20000mg) of potassium chloride in 100ml of solution.
So, 100ml of this solution would contain (20000mg * 100ml / 100ml) = 20000mg of potassium chloride.
This dose exceeds the lethal limit mentioned in the question.
b. 50ml of a 2M solution
A 2M solution means there are 2 moles of potassium chloride in 1 liter of solution.
So, the amount of potassium chloride in 50ml of this solution would be (50/1000 L * 2 moles/L * 74.55g/mole) = 3.7275g = 3727.5mg.
This dose exceeds the lethal limit mentioned in the question.
c. 25ml of a 10/100ml solution
In this case, 1ml of the solution contains 10mg of potassium chloride. So, 25ml of this solution would contain (10mg * 25ml) = 250mg.
This dose is within the safe limit mentioned in the question.
d. 140ml of a 1M solution
The molar mass of potassium chloride is 74.55g/mol. Therefore, a 1M solution means there are (1 mole/L * 74.55g/mol) = 74.55g/L of potassium chloride.
To convert it to mg/ml, we divide by 1000, so 1ml of this solution would contain (74.55mg/ml).
Therefore, 140ml of this solution would contain (74.55mg/ml * 140ml) = 10437mg = 10.437g.
This dose exceeds the lethal limit mentioned in the question.
Based on these calculations, the safe option for the dose of potassium chloride would be option c. 25ml of a 10/100ml solution.
To determine the safe dose of a substance, we need to calculate the amount of the substance within each given solution.
For the first question regarding the safe dose of morphine (molar mass 283):
a. 1ml of a 1 percent solution (w/v):
To calculate the amount of morphine in this solution, we need to convert the given percentage to a ratio. Since 1 percent means 1g of morphine per 100ml of solution, this means that there is 0.01g of morphine in 1ml of solution. To convert grams to moles, we divide by the molar mass of morphine:
0.01g / 283g/mol = 3.53 x 10^-5 moles
b. 1ml of a 0.05 M solution:
To calculate the amount of morphine in this solution, we multiply the given molarity by the volume:
0.05 mol/L * 0.001 L = 5 x 10^-5 moles
c. 1ml of a 100mg/ml solution:
In this case, the concentration is already given in mg per ml, so we can directly convert it to moles:
100mg * (1g / 1000mg) / 283g/mol = 3.53 x 10^-4 moles
d. 0.5ml of a 1M solution:
Since the solution is given in moles per liter, we need to convert the given volume to liters:
0.5ml * (1L / 1000ml) = 0.0005 L
Now we can calculate the amount of morphine in this solution:
1 mol/L * 0.0005 L = 0.0005 moles
From the calculations above, it is clear that the safe dose of morphine would be option e. none of the above, as none of the provided options fall below the lethal dose.
Now let's move on to the second question about the safe dose of potassium chloride (molar mass 74.55).
a. 100ml of a 20 percent solution:
Since the solution is given as a percentage, we need to calculate the mass of potassium chloride in 100ml:
20 percent = 20g / 100ml = 0.2g
Now we can convert the mass to moles:
0.2g / 74.55g/mol = 0.0027 moles
b. 50ml of a 2M solution:
To calculate the amount of potassium chloride in this solution, we multiply the given concentration by the volume:
2 mol/L * 0.05 L = 0.1 moles
c. 25ml of a 10/100ml solution:
In this case, the concentration is given as a ratio. We can convert it to moles by multiplying the ratio by the molar mass of potassium chloride:
10/100ml * 74.55g/mol = 7.455g
Now we convert the mass to moles:
7.455g / 74.55g/mol = 0.1 moles
d. 140ml of a 1M solution:
To calculate the amount of potassium chloride in this solution, we multiply the given concentration by the volume:
1 mol/L * 0.14 L = 0.14 moles
From the calculations above, it is clear that the safe dose of potassium chloride would be option e. none of the above, as none of the provided options fall below the lethal dose of 100mmoles.
You can see from your previous ost how this is done. I'll be glad to check your numbers.
The administration of 100 mg or more of morphine (molar mass 283) to a
patient would probably be lethal. Which of the following would
you consider to be a safe dose?