Question 9.12: What is the final concentration if 75 mL of a 3.5 M glucose ...

Fundamentals of General, Organic, and Biological Chemistry

What is the final concentration if 75 mL of a 3.5 M glucose solution is diluted to a volume of 450 mL?
ANALYSIS The number of moles of solute is constant, so

M_1V_1 = M_2V_2

Of the four variables in this equation, we know the initial concentration $M_1$ (3.5 M), the initial volume $V_1$ (75 mL), and the final volume $V_2$ (450 mL), and we need to find the final concentration $M_2$ .
BALLPARK ESTIMATE The volume increases by a factor of 6, from 75 mL to 450 mL, so the concentration must decrease by a factor of 6, from 3.5 M to about 0.6 M.

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