Chemistry / Unit 1: Matter and Measurement
1.4 SI Units, Measurement and Density
Notes
Scientists use SI units. Prefixes change the size of a unit by powers of 10.
- Base units: mass in kilograms (kg), length in meters (m), time in seconds (s), temperature in kelvins (K), amount in moles (mol).
- Prefixes: kilo (k) $= 10^3$, centi (c) $= 10^{-2}$, milli (m) $= 10^{-3}$, micro ($\mu$) $= 10^{-6}$, nano (n) $= 10^{-9}$.
- $1 \text{ mL} = 1 \text{ cm}^3$ and $K = °C + 273$.
- Accuracy is closeness to the true value; precision is closeness of repeated measurements to each other.
- Density: $\displaystyle D = \frac{m}{V}$. Example: a 54.0 g block with volume 20.0 $\text{cm}^3$ has $D = 2.70 \text{ g/cm}^3$.
Practice
A metal sample has a mass of 60.0 g. When placed in a graduated cylinder, the water level rises from 25.0 mL to 32.5 mL. What is its density?
Volume $= 32.5 - 25.0 = 7.5$ mL. $\displaystyle D = \frac{60.0}{7.5} = 8.0$ g/mL.
Convert 25 °C to kelvins.
$K = 25 + 273 = 298$.
A student measures a 10.00 g mass three times and gets 8.51 g, 8.50 g and 8.52 g. The measurements are:
The readings agree closely (precise) but are far from 10.00 g (not accurate).
Ready for more? Take the Unit 1 test.