Suppose that you determine the density of a mineral by measuring its mass (m) (4.635±0.002 g)...
Suppose that you determine the density of a mineral by measuring its mass (m) (4.635±0.002 g) and its volume (1.13±0.05 mL). What is the uncertainty in the computed density?
Homework Answers
Density(d) = mass (m) /volume(v)
d = 4.635÷1.13 = 4.101 g/ml.
Uncertainty in density
d = d× [(
m/m)2
+ (v/v)2]
1/2
= 4.101× [ 0.002÷4.635)2 + (0.05/1.13)2]1/2
= 4.101×[ 0.000000186 + 0.00195786671]1/2
= 4.101×[0.001958]1/2
=
4.101×0.0444
= 0.182
So, uncertainty in the computed density = 0.182
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