Question

The average radius of a molecule of Iysozyme, an enzyme in tears, is 1430 pm. What is its radius in nanometers (nm)?

Answer 1

Answer: Basically, this problem tells you to convert micrometers (μm) to millimeters (mm). The prefixes are used as hints for their values. Micrometer is 10⁻⁶ of a meter, while millimeter is 10⁻³ of a meter. If you use dimensional analysis,

(1.430×10⁻³ μm)*(10⁻⁶ m/1 μm)*(1 mm/10⁻³ m) = 1.43×10⁻⁶ mm

Step-by-step explanation:

Answer 2

1.430 nm

Step-by-step explanation:

The average radius of a molecule of Iysozyme, an enzyme in tears, is 1430 pm.

1 meter is equal to 10¹² picometers. We can use a conversion fraction to convert 1430 picometers to meters.

1430 pm × (1 m / 10¹² pm) = 1.430 × 10⁻⁹ m

1 meter is equal to 10⁹ nanometers. We can use a conversion fraction to convert 1.430 × 10⁻⁹ meters to nanometers.

1.430 × 10⁻⁹ m × (10⁹ nm/1 m) = 1.430 nm