50 ml of a solution of 50% dextrose is added to a liter of 0.45% NaCl with 2.5% dextrose to yield a solution with a final dextrose concentration of what percent
The NaCl does not count in this case.
(50ml * 50% + 1000 ml * 2.5%)/(50 ml+1000ml)
=4.76%
4.8%
Where did this 1000mL come from?
1 L is equal to 1000 mL. The liter is converted into mL to match the unit of "Fifty mL"
To calculate the final dextrose concentration, we need to consider the amount of dextrose in each solution before they are mixed.
Let's break down the problem step by step:
1. Calculate the amount of dextrose in the 50 ml solution:
Since the solution is 50% dextrose, we can calculate it as follows:
(50 ml) x (0.50) = 25 ml dextrose
2. Calculate the amount of dextrose in the 1 liter solution:
Since the solution is 2.5% dextrose, we can calculate it as follows:
(1000 ml) x (0.025) = 25 ml dextrose
3. Calculate the total amount of dextrose in both solutions:
25 ml + 25 ml = 50 ml dextrose
4. Calculate the final volume of the solution:
The initial volume of the 1 liter solution plus the 50 ml solution is:
1000 ml + 50 ml = 1050 ml
5. Calculate the final dextrose concentration:
To find the percentage, divide the total amount of dextrose (50 ml) by the final volume of solution (1050 ml) and multiply by 100:
(50 ml / 1050 ml) x 100 ≈ 4.76%
Therefore, the final dextrose concentration in the solution is approximately 4.76%.