A doctor orders 120. mL of 2% (m/v) ibuprofen. If you have 10.% (m/v) ibuprofen on hand, how many milliliters do you need?
Express the volume to two significant figures and include the appropriate units.
Let's use the formula:
C1V1 = C2V2
Where:
C1 = 10.% (m/v) = 0.10
V1 is what we want to find
C2 = 2% (m/v) = 0.02
V2 = 120 mL
Substituting the values into the formula:
0.10V1 = 0.02(120)
Simplifying the equation:
0.10V1 = 2.4
Dividing both sides of the equation by 0.10:
V1 = 24
Therefore, you need 24 mL of the 10.% (m/v) ibuprofen.
To find out how many milliliters of 10% (m/v) ibuprofen you need, you can set up a proportion using the percent concentrations and volumes.
Let "x" be the volume of 10% (m/v) ibuprofen you need.
The proportion can be set up as:
(10% / 100%) = (x mL / 120 mL)
To solve for "x", we can cross-multiply and then divide:
(10/100) * 120 mL = x mL
12 mL = x mL
Therefore, you will need 12 mL of 10% (m/v) ibuprofen.
To find the volume of the 10.% (m/v) ibuprofen solution needed, we can use the equation:
(m1)(V1) = (m2)(V2)
Where:
m1 = concentration of the first solution (2%)
V1 = volume of the first solution (unknown)
m2 = concentration of the second solution (10%)
V2 = volume of the second solution (given as 120 mL)
Rearranging the equation, we have:
V1 = (m2 * V2) / m1
Let's substitute the given values:
V1 = (10% * 120 mL) / 2%
To simplify, we first convert the percentages into decimal form:
V1 = (0.10 * 120 mL) / 0.02
Then we can calculate:
V1 = (12 mL) / 0.02
V1 = 600 mL
Therefore, you would need 600 mL of the 10.% (m/v) ibuprofen solution.