Final answer:
To convert 30 ng to kg, we convert nanograms to grams and then to kilograms. By using metric prefixes, we find that 30 ng is equal to 30×10^-12 kg, which is expressed in scientific notation as 3×10⁻¹¹ kg.
Step-by-step explanation:
To convert 30ng (nanograms) to kilograms, we need to understand the metric prefixes and their relation to the base unit, gram. 1 nanogram (ng) is equal to 1×10⁻⁹ grams (g), and 1 kilogram (kg) is equivalent to 1×10³ grams (g).
The conversion from nanograms to kilograms involves converting from nanograms to grams and then from grams to kilograms. Since the problem requires expressing the answer in scientific notation, we can follow these steps:
- Convert nanograms to grams: 30 ng × (1 g / 1×10⁹ ng) = 30×10⁻⁹ g.
- Convert grams to kilograms: 30×10⁻⁹ g / (1 kg / 1×10³ g) = 30×10⁻¹² kg.
In scientific notation, this gives us 3×10⁻¹¹ kg. So, 30 nanograms is equal to 3×10⁻¹¹ kilograms in scientific notation.