How Do You Calculate the Final Concentration in a Series of Dilutions?

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SUMMARY

The final concentration of sucrose in Solution C is calculated using the formula C(final) = C(initial) * (V(1)/V(2)) * (V(3)/V(4)) * (V(5)/V(6)). Starting with a stock solution of 5.60 M sucrose, the calculations yield a final concentration of 0.157 M after applying the successive dilutions: Solution A (46.0 mL diluted to 116 mL), Solution B (58.0 mL of Solution A diluted to 248 mL), and Solution C (87.0 mL of Solution B diluted to 287 mL). The method is confirmed as accurate by the participants in the discussion.

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Homework Statement


The following successive dilutions are applied to a stock solution that is 5.60 M sucrose

* Solution A = 46.0 mL of the stock sollution is diluted to 116 mL
* Solution B = 58.0 mL of Solution A is diluted to 248 mL
* Solution C = 87.0 mL of Solution B is diluted to 287 mL

What is the concentration of sucrose in solution C?
C(final)=C(initial)*(V(1)/V(2))*(V(3)/V(4)) * (V(5)/V(6))


Homework Equations


C(final)=C(initial)*(V(1)/V(2))*(V(3)/V(4)) * (V(5)/V(6))



The Attempt at a Solution



C(final) = (5.60 M)*(46 mL/116 mL)*(58 mL/248 mL)*(87 mL/287 mL)
C(final)= .157 M

Is that how I would calculate the final concentration?
 
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