A solution with mass of 1.00 kg contains 3 mg of solute. Express this concentration in ppm and ppb.

Explanation

To solve the problem of expressing the concentration of a solution containing 3 mg of solute in 1.00 kg of solution in parts per million (ppm) and parts per billion (ppb), we can follow these steps:

### Step 1: Understand the Definitions
- **PPM (Parts Per Million)**: This is a way of expressing very dilute concentrations of substances. It is defined as the mass of solute divided by the mass of solution, multiplied by 1,000,000 (or \(10^6\)).
- **PPB (Parts Per Billion)**: Similar to ppm, but it is defined as the mass of solute divided by the mass of solution, multiplied by 1,000,000,000 (or \(10^9\)).

### Step 2: Convert Units
- The mass of the solute is given as 3 mg. We need to convert this to grams for consistency with the mass of the solution.
...