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Chapter 3: Q1 P (page 61)

3-1. How many significant figures are there in the following numbers?

(a) 1.903 0

(b)0.0391 0

(c) 1.40脳104

Short Answer

Expert verified
  1. The significant figures of 1.903 0 is 5
  2. The significant figures of 0.0391 0 is 5
  3. The significant figures of1.40脳104is 3

Step by step solution

01

The significant figures of 1.903

(a)

The question is given 1.903 0.

So the significant figures are (1,9,0,3,0)

As all zeros after decimal are also significant along with all non-zero numbers

02

The significant figures of 0.0391 0

(b)

The question is given 0.0391 0

So the significant figures are (0, 3, 9, 1, 0)

As before decimal is non-significant if it does not have any non-zero number before it.

03

The significant figures of 1.40×104

(c)

The question is given1.40脳104

So the significant figures are (1, 4, 0)

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Most popular questions from this chapter

Explain the difference between systematic and random error.

(a) How many millilitres of 53.4(卤0.4)wt%NaOHwith a density of 1.52(卤0.01)g/mLwill you need to prepare 2.000L of 0.169M NaOH ?

(b) If the uncertainty in delivering NaOH is 卤0.01mL, calculate the absolute uncertainty in the molarity (0.169M). Assume there is negligible uncertainty in the formula mass of NaOH and in the final volume (2.000L).

Suppose that in a gravimetric analysis, you forget to dry the filter crucibles before collecting precipitate. After filtering the product, you dry the product and crucible thoroughly before weighing them. Is the apparent mass of product always high or always low? Is the error in mass systematic or random?

Write each answer with the correct number of significant figures.

(a)1.0+2.1+3.4+5.8=12.3000

(b) 106.9 - 31.4 = 75.5000

(c)107.868(2.113脳102)+(5.623脳103)=5519.568

(d)(26.14/37.62)脳4.38=3.043413

(e(26.14/37.62脳108)脳(4.38脳10-2)=3.043413脳10-10

(f)(26.14/3.38)+4.2=4.5999

(g)log(3.98脳104)=4.5999

(h)10-6.31=4.89779脳10-7

Round each number to three significant figures:

(a) 0.21674

(b) 0.2165

(c) 0.2165003
See all solutions

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