Answered: A mathematical equation useful for…

Introductory Chemistry: A Foundation

9th Edition

ISBN:9781337399425

Author:Steven S. Zumdahl, Donald J. DeCoste

Publisher:Steven S. Zumdahl, Donald J. DeCoste

Chapter15: Solutions

Section: Chapter Questions

Problem 38CR

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A mathematical equation useful for dilution calculations isM(dil)xV(dil)xM(conc)xV(conc) (a) What does each symbol mean,and why does the equation work? (b) Given the volume and mo-larity of a CaCl2solution, how do you determine the number ofmoles and the mass of solute?

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$m o l a r i t y i s t h e n u m b e r o f m o l e s o f s o l u t e d i s s o l v e d i n a 1 l i t e r o f s o l u t i o n . M = \frac{n}{V} w h e r e, M = m o l a r i t y n = n o o f m o l e s V = v o l u m e o f s o l u t i o n i n 1 L$

Step 1

$a) e x p r e s s i o n f o r d i l u t i o n c a l c u l a t i o n s - M_{d i l} \times V_{d i l} = M_{c o n c} \times V_{c o n c} w h e r e, M_{d i l} = M o l a r i t y o f d i l u t e d s o l u t i o n V_{d i l} = v o l u m e o f d i l u t e d s o l u t i o n M_{c o n c} = M o l a r i t y o f c o n c e n t r a t e d s o l u t i o n V_{c o n c} = v o l u m e o f c o n c e n t r a t e d s o l u t i o n t h i s e q u a t i o n i s u s e f u l t o d e t e r m i n e u n k n o w n v a l u e o f m o l a r i t y o r v o l u m e, f r o m k n o w n v a l u e o f m o l a r i t y a n d v o l u m e .$

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