Multiple Choice
How many millimoles are in mole?
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1. Intro to General Chemistry
Metric Prefixes
Multiple Choice
If a room has a volume of 1.15 x 108 cm3, what is the volume in km3?
A
1150 km3
B
115 km3
C
1.15 x 10-7 km3
D
1.15 x 105 km3
Verified step by step guidance1
Identify the given volume and its units: the volume is 1.15 \(\times\) 10^{8} cm^{3}.
Recall the conversion factors between centimeters and kilometers. Since 1 km = 10^{5} cm, you can use this to convert cubic centimeters to cubic kilometers.
Set up the conversion for volume by cubing the length conversion factor: 1 cm^{3} = (1 cm)^{3} = \(\left\)(\(\frac{1}{10^{5}\)} km\(\right\))^{3} = \(\frac{1}{10^{15}\)} km^{3}.
Multiply the given volume in cm^{3} by the conversion factor to get the volume in km^{3}:
\[\text{Volume in } km^{3} = 1.15 \times 10^{8} \times \frac{1}{10^{15}} = 1.15 \times 10^{8 - 15} = 1.15 \times 10^{-7} km^{3}.\]
Express the final answer in scientific notation, confirming it matches the expected format.
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