Answer:
Step-by-step explanation:
derstand the initial concentration:
A 1:60 solution means 1 part solute in 60 parts total (59 parts solvent + 1 part solute).
For 20 mL of this solution, the amount of solute can be calculated.
Calculate the amount of solute in the initial solution:
The ratio is 1 part solute to 60 parts total solution.
Thus, in 20 mL of solution, the amount of solute is 160×20601×20 mL.
Add water and calculate the new total volume:
30 mL of water is added to 20 mL of the initial solution.
The new total volume is 50 mL.
Determine the new concentration ratio:
The amount of solute remains the same, but the total volume increases.
Let's go through the calculations:
Amount of solute in the initial 20 mL solution:
Amount of solute=160×20=2060=13 mLAmount of solute=601×20=6020=31 mL
New total volume:
New total volume=20 mL+30 mL=50 mLNew total volume=20 mL+30 mL=50 mL
New concentration:
The amount of solute remains 13 mL31 mL.
The new concentration is the ratio of the amount of solute to the total volume.
The new ratio of solute to solution is:
New concentration=13 mL50 mL=13÷50=1150New concentration=50 mL31 mL=31÷50=1501
So, the new concentration, expressed as a ratio in simplest terms, is:
1:1501:150
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