Unit Conversions
1. **Problem Statement:** Convert the given units as requested in each question.
2. **Conversion formulas and rules:**
- To convert grams per milliliter (g/mL) to grams per liter (g/L), multiply by 1000 because 1 L = 1000 mL.
- To convert meters per second (m/s) to kilometers per hour (km/h), multiply by 3.6 because 1 m/s = 3.6 km/h.
- To convert milliliters (mL) to liters (L), divide by 1000 because 1 L = 1000 mL.
- To convert micrometers (µm) to kilometers (km), divide by $10^9$ because 1 km = $10^9$ µm.
- To convert kilometers (km) to micrometers (µm), multiply by $10^9$.
3. **Step-by-step conversions:**
**(a) Convert 1.31 g/mL to g/L:**
$$1.31\ \text{g/mL} \times 1000 = 1310\ \text{g/L}$$
**(b) Convert 35 m/s to km/h:**
$$35\ \text{m/s} \times 3.6 = 126\ \text{km/h}$$
**(c) Convert 21.11 mL to L:**
$$21.11\ \text{mL} \div 1000 = 0.02111\ \text{L}$$
**(d) Convert 10 µm to km:**
$$10\ \mu\text{m} \div 10^9 = 1.0 \times 10^{-8}\ \text{km}$$
**(e) Convert 1 km to µm:**
$$1\ \text{km} \times 10^9 = 1,000,000,000\ \mu\text{m}$$
4. **Summary:**
- 1.31 g/mL = 1310 g/L
- 35 m/s = 126 km/h
- 21.11 mL = 0.02111 L
- 10 µm = $1.0 \times 10^{-8}$ km
- 1 km = 1,000,000,000 µm
These conversions use basic unit relationships and multiplication or division by powers of ten or conversion factors.