What is the mass in grams of 3.7 x 1019 particles of iron(III) carbonate?to the closest thousandths

Here we are asked to calculate the mass of 3.7×1019 particlesof iron(III) carbonate.

Answered: What is the mass in grams of 3.7 x 1019…

Chemistry

10th Edition

ISBN:9781305957404

Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Chapter1: Chemical Foundations

Section: Chapter Questions

Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...

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Question

What is the mass in grams of 3.7 x 10¹⁹ particles of iron(III) carbonate?

to the closest thousandths

Expert Solution

Step 1 To Calculate

$H e r e w e a r e a s k e d t o c a l c u l a t e t h e m a s s o f 3.7 \times 10^{19} p a r t i c l e s o f i r o n (I I I) c a r b o n a t e .$

Step 2 Concept and Calculation

$T h e m a s s o f g i v e n n u m b e r o f p a r t i c l e s o f i r o n (i i i) c a r b o n a t e i s a s f o l l o w s, M o l a r m a s s o f i r o n (i i i) c a r b o n a t e (F e_{2} {(C O_{3})}_{3}) = 291.72 \frac{g}{m o l} i . e . m a s s o f o n e m o l e o f F e_{2} {(C O_{3})}_{3} = 291.72 g r a m a n d o n e m o l e o f F e_{2} {(C O_{3})}_{3} = 6.023 \times 10^{23} p a r t i c l e s o f F e_{2} {(C O_{3})}_{3} a g a i n, \sin c e 6.023 \times 10^{23} p a r t i c l e s o f F e_{2} {(C O_{3})}_{3} = 291.72 g r a m s o, 1 p a r t i c l e s o f F e_{2} {(C O_{3})}_{3} = \frac{291.72}{6.023 \times 10^{23}} g r a m t h u s, 3.7 \times 10^{19} p a r t i c l e s o f F e_{2} {(C O_{3})}_{3} = \frac{291.72 \times 3.7 \times 10^{19}}{6.023 \times 10^{23}} g r a m = 179.21 \times 10^{19 - 23} g r a m = 179.21 \times 10^{- 4} g r a m = 1.79 \times 10^{- 2} g r a m$

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