A solution of LiNO3 at 2 M is diluted from a volume of 1 L to its new volume of 1.78 L. What is the resulting concentration of this solution?
Question
A solution of LiNO3 at 2 M is diluted from a volume of 1 L to its new volume of 1.78 L. What is the resulting concentration of this solution?
Solution
To find the resulting concentration of the solution, we can use the formula for dilution: M1V1 = M2V2, where M1 is the initial molarity, V1 is the initial volume, M2 is the final molarity, and V2 is the final volume.
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First, we need to convert the volumes to the same units. In this case, both are already in liters, so no conversion is necessary.
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Next, we plug the given values into the formula:
(2 M)(1 L) = M2(1.78 L)
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To solve for M2, we divide both sides of the equation by 1.78 L:
M2 = (2 M * 1 L) / 1.78 L
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Performing the calculation gives us the final molarity (M2) of the solution:
M2 = 1.12 M
So, the resulting concentration of the LiNO3 solution after dilution is 1.12 M.
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