(a)
Interpretation:
The conversion of 27 ft/s to cm/min .
(a)
Explanation of Solution
The relation between Foot (ft) and in is shown below:
1 ft=12 in
The conversion factors used to convert ft into in is shown below:
1 ft12 inor12 in1 ft
The relation between in and cm is shown below:
1 in=2.54 cm
The conversion factors used to convert yd into ft is shown below:
1 in2.54 cmor2.54 cm1 in
The relation between min and s is shown below:
1 min=60 s
The conversion factors used to convert s into min is shown below:
1 min60 sor60 s1 min
The 27 ft/s is converted into cm/min using the conversion factor as follows:
27 ft/s=27 ft1 s×12 in1 ft×2.54 cm1 in×60 s1 min=49377.6 cm/min
Therefore, 27 ft/s is equal to 49377.6 cm/min . According to the rules of counting significant figures, 27 ft/s has two significant figures. Therefore, the answer is 4.9×104 cm/min .
(b)
Interpretation:
The conversion of 2764 ft3 to m3 .
(b)
Explanation of Solution
The relation between Foot (ft) and m is shown below:
3 ft=0.9144 m
The conversion factors used to convert cm3 into m3 is shown below:
3 ft0.9144 mor0.9144 m3 ft
The 2764 ft3 is converted into m3 using the conversion factor as follows:
2764 ft3=2764 ft3×(0.9144 m3 ft)3=78.267 m3
Therefore, 2764 ft3 is equal to 78.267 m3 . The given number 2764 ft3 has four significant figures. As a result, the final answer will be rounded off to four significant figures. Therefore, the final answer is 78.27 m3 .
(c)
Interpretation:
The conversion of 0.927 g/mL to lb/gal .
(c)
Explanation of Solution
The relation between g and Pound (lb) is shown below:
1 lb=453.6 g
The conversion factors used to convert g into lb is shown below:
1 lb453.6 gor453.6 g1 lb
The relation between mL and L is shown below:
1 L=1000 mL
The conversion factors used to convert mL into L is shown below:
1 L1000 mLor1000 mL1 L
The relation between L and gal is shown below:
1 gal=3.785 L
The conversion factors used to convert L into gal is shown below:
1 gal2.785 Lor2.785 L1 gal
The 0.927 g/mL is converted into lb/gal using the conversion factor as follows:
0.927 g/mL=0.927 g 1 mL×1 lb453.6 g×1000 mL1 L×3.785 L1 gal=7.735 lb/gal
Therefore, 0.927 g/mL is equal to 7.735 lb/gal . The given number 0.927 g/mL has three significant figures. As a result, the final answer will be rounded off to three significant figures. Therefore, the final answer is 7.74 lb/gal .
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Chapter 1 Solutions
INTOR TO CHEMISTRY LLF
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