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Chapter 3: Q17P (page 62)

Verify the following calculations:

a)3.1415(卤0.0011)=1.77243(卤0.00033);b)log[3.1415卤0.0011]=0.49714(卤0.00015);c)antilog[3.1415卤0.0011]=1.14470(卤0.00035);d)In[3.1415卤0.0011]=1.14470(卤0.00035);e)log(0.104卤0.0060.0511卤0.0009)=0.800(卤0.015)

Short Answer

Expert verified

a)y=x1/2%e=1/2100脳0.0011/3.1415=0.0175%1.75脳10-43.1415=3.1脳10-4

Step by step solution

01

Verification of solutions.

a)y=x1/2%e=1/2100脳0.0011/3.1415=0.0175%1.75脳10-43.1415=3.1脳10-4

02

Step 2:

b)y=logx%ey=0.43429脳0.0011/3.1415=1.52脳10-4

03

Step 3:

c)y=antilogx=10xey=y脳2.3026ex=103.14152.30260.0011=3.51

04

Step 4:

d)y=Inxey=0.0011/3.1415=3.5脳10-4

05

Step 5:

e)Thenumeratoroflogterm:y=x1/2ey=1/20.006/0.104脳100=2.88%0.3225卤2.88%0.0511卤0.0009=0.3225卤2.88%0.0511卤1.76%=6.311卤3.3755=6.311卤0.213y=logxey=o.42429ex/x=0.015

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Most popular questions from this chapter

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

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 a reasonable number of figures. Find the absolute and percent relative uncertainty for each answer.

(a)[12.41(卤0.09)梅4.16(卤0.01)]脳7.0682(卤0.0004)=?

(b)[3.26(卤0.10)脳8.47(卤0.05)]-0.18(卤0.06)=?(c)6.843(卤0.008)脳104梅[2.09(卤0.04)-1.63(卤0.01)]=?(d)3.24卤0.08=?(e)(3.24卤0.08)4=?(f)log(3.24卤0.08)=?(g)103.24卤0.08=?

Suppose that you used smaller volumetric apparatus to prepare 0.250MNH3solution by diluting role="math" localid="1663558223400" 84.6卤0.8渭尝 of 28.0卤0.5 wt\% NH3 up to 5.00卤0.02mL. Find the uncertainty in0.250M.(Answer: 0.250卤0.005M.The uncertainty in density of concentratedNH3overwhelms all other smaller uncertainties in this procedure.)

Write the formula mass of (a) BaF2and (b)C6H4O4with a reasonable number of digits. Use the periodic table inside the cover of this book to find atomic masses.
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