2) In each of the following problems experimental data are given along with the

Question

2) In each of the following problems experimental data are given along with the 95% confidence limits for the data Use this information to carry out the requested calculations. Give both the results of the calculation confidence limits for the result a) Mass of water in a sample of a hydrate (g) mass before drying-18.476 ± 0.022 g, at 95% c mass after drying 13.738 ± 0 018 g, at 95% c ! b) Density of a metal block (g/cm) mass of block = 321833 ± 0.0006 g, at 95% c.1. volume of block = 6.74 ± 0.14 cm, at 95% c.L

Explanation / Answer

x=18.476

x=0.022

Y=13.738

y=0.018

According to error propagation of subtraction rule

Z= x-y

=18.476-13.738=5.638g

z=x^2+y^2=(0.022)2+(0.0018)2=0.028

Hence mass of water is 5.638+/- 0.028

Similary

X=32.1833

Y=6.74

x=0.0006

y=0.14

Z=x/y=32.1833/0.0006=4.7749

z=(0.006/32.1833)2+(0.14/6.74)2=0.1441

Hence density of block is 4.7749+/-0.1441

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