# What is the meaning of the number of digits reported in a

## Problem 26E Chapter 1

Chemistry: A Molecular Approach | 3rd Edition

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Chemistry: A Molecular Approach | 3rd Edition

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Problem 26E

What is the meaning of the number of digits reported in a measured quantity?

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Solution 26 E: The metric prefixes will be as following: (a) 2.3 x 10 -10L, -9 1.0 nL =1 x 10 L Conversion of Liter (L) to nanoliter(nL) Thus, Desired unit = given unit x (desired unit/ given unit) = 2.3 x 10 -10L x (1 nL/1 x 10 L) -1 = 2.3 x 10 nL = 0.23 nL -10 Thus Thus, the volume of 2.3 x 10 L without exponent is equal to 0.23 nL -6 (b) 4.7 x 10 g 1 g =1 x 10 g -6 Conversion of gram (g) to microgram(g) Thus, Desired unit = given unit x (desired unit/ given unit) -6 -6 = 4.7 x 10 g x( 1g /1 x 10 g ) = 4.7 g Thus, the mass of 4.7 x 10 g, without exponent is equal to 4.7g -12 (c)1.85 x 10 m -12 1 pico meter (pm) =1 x 10 m Conversion of meter (m) to picometer(pm) Thus, Desired unit = given unit x (desired unit/ given unit) -12 -12 m = 1.85 x 10 m x (1.0 pm/1 x 10 ) = 1.85 pm -12 Thus, the length of 1.85 x 10 m, without exponent is equal to 1.85 pm 6 d) 16.7 x 10 s 6 1 mega s (Ms) =1 x 10 s Conversion of sec (s) to Megasec(Ms) Thus, Desired...

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