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Significant Figures

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A) Provide the type of measurement (volume, length, temperature etc.) for the following units:

i) 298 K
ii) 65 mL
iii) 15 m
iv) 290 kg
v) 50 g

b) Write the following measurements in scientific notation:
i) 150000000 kg
ii) 0.28 L
iii) 0.00004 m

c) Answer whether the numbers in each of the following statements is measured or exact:
i) The Cambrian explosion occurred 545000000 years ago.
ii) 26 students went for the field trip.
iii) The number of microbes on a telephone is 25600.

d) State how many significant figures there are in each of the following measured quantities:
i) 18.000 m
ii) 52.80 L
iii) 7.0 X 10-14 kg

e) Round off each of the following numbers to two significant figures:
i) 66.666
ii) 0.0063424
iii) 9577

© BrainMass Inc. brainmass.com October 24, 2018, 8:54 pm ad1c9bdddf
https://brainmass.com/chemistry/general-chemistry/significant-figures-111306

Solution Preview

Please see attached file.

Solution is below, and as HTML attached - provided a couple of links that are live in the HTML page version.

As for "help", I am going to point you to the resources you need to answer these yourself, and put in an example or two - but NOT to do them for you, OK? So let's go then!
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a) Provide the type of measurement (volume, length, temperature etc.) for the following units:

i) 298 K
ii) 65 mL
iii) 15 m
iv) 290 kg
v) 50 g

go to the following site and look at the entries for metric and SI units, should be easy enough
http://www.ex.ac.uk/cimt/dictunit/dictunit.htm#SI

b) Write the following measurements in scientific notation:

i) ...

Solution Summary

Answer goes down a sort list of problems and deals with issues such as significant figures, rounding, and math as related to science in general.

$2.19
See Also This Related BrainMass Solution

Density, Conversions and Significant Figures

1. a: A cube of osmium metal 1.500cm on a side has a mass of 76.31 g at 25*C. What is its density in g / cm3 at this temperature?

B: The density of titanium metal is 4.51 g / m3 at 25*C. What mass of titanium displaces 65.8 mL of water at 25*?

C: The density of bezene at 15 *C is 0.8787 g / mL. Calculate the mass of 0.1500 L of benzene at this temperature.

Solutions for a,b,c

A. g/cm3
B. g
C. g

2, A cylindrical rod formed from silicon is 16.8 cm long and has a mass of 2.17 kg. The density of silicon is 2.33 g / cm3. What is the diameter of the cylinder? (the volume of a cylinder is given by TTr2h, where r is the radius and h is its length.)

Solution:

_________________________________________cm

Question 3: Indicate the number of significant figures in each of the following measure quanties.

A: 3.7745km___________________________
B: 205 m2 ___________________________
C: 1.700cm____________________________
D: 350.0 K _____________________________
E: 307.080 g ___________________________

Question 4. Carry out the following conversions
A: 0.105 in_______________________________mm
B: 0.870 qt_______________________________mL
C: 9.75 um/s______________________________km/hr
D: 4.733 yd3_______________________________m3
E: $3.99/lb_________________________________dollars per kg
F 8.75 lb/ft3_________________________________g/ml

Solutions

5. Carry out the following operations and express the answer with the appropriate number of signigicant figures.

A: 320.55 - (6104.5/2.3)

B: [(285.3 x 105) - (1.200) x 103] x 2.8954

C: (0.0045 x 20, 000.0) + (2813 x 12)

D: 863 x [1255 - (3.45 x 108)]

6.The concentration of carbon monoxide in an urban apartment is 48 ug/m3. What mass of a carbon monoxide in grams is present in a room measuring 9.0 x 14.5 x 18.8ft?

Solution

______

_________________________________g

7. By using estimation techniques determine which of the following is the heaviest and which is the lightest.

Quantity Conversion factor(s) Conversion to grams

5-lb bag of potatoes g potatoes
5-kg bag of sugar g sugar
1 gal of water (density = 1.0g/ml) g water

Solution

8.The liquid substances mercury (density = 13.5 g / mL), water (1.00 g / ml ), and cyclohexane
(0.778 g / mL) don not form a solution when mixed, but separate in distinct layers. Sketch how the liquids would position themselves in a test tude.

Question 9. Small spheres of equal mass are made of lead (density = 11.3 g / m3),
Silver (10.5 g / m3) and aluminum (2.70 g / m3). Which sphere has the largest diameter and which has the smallest?

Spheres:
Lead (cm) Pb sphere
Silver (cm) Pb sphere
Aluminum (cm) Pb sphere

Solutions

Question 10. Automobile batteries contain sulfuric acid, which is commonly referred to as "batter acid". Calculate the number of grams of sulfuric acid in 0.500 L of battery acid if the solution has a density of 1.28 g / mL and is 38.1% sulfuric acid by mass.

________________________________________________ g H2SO4 ( . 5L)
solution

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