Question

A solution of 0.30 % is equivalent to _______ ppm

• A. 3000
• B. 30
• C. 30000
• D. 3

Hint:

To convert % to ppm, simply multiply by 10,000 (move the decimal point four places to the right). Conversely, to convert ppm to %, divide by 10,000 (move the decimal point four places to the left).

Answer 1

The Correct Option is A

Step 1: Understanding the Concept:
Concentrations in analytical chemistry and soil science are commonly expressed in percentage (%) or parts per million (ppm).
Developing a clear understanding of the conversion factors between these units is essential for preparing nutrient and chemical solutions.
Key Formula or Approach:
The conversion relationship between percentage (%) and parts per million (ppm) is:
\[ 1\% = 10,000\text{ ppm} \]
Therefore, to convert any percentage concentration to ppm:
\[ \text{Concentration (ppm)} = \text{Percentage (\%)} \times 10,000 \]

Step 2: Detailed Explanation:
Let us perform the calculation:
Given:
Percentage concentration = $0.30\%$
Convert to ppm:
\[ \text{Concentration (ppm)} = 0.30 \times 10,000 = 3000\text{ ppm} \]
This can also be understood fundamentally:
$0.30\%$ means $0.30\text{ grams}$ of solute in $100\text{ grams}$ of solution.
In one million grams ($1,000,000\text{ g}$) of solution:
\[ \text{Mass of solute} = \frac{0.30}{100} \times 1,000,000 = 3000\text{ grams} \]
By definition, $3000\text{ grams}$ per million grams is equivalent to $3000\text{ ppm}$.

Step 3: Final Answer:
A solution of 0.30 % is equivalent to 3000 ppm, which corresponds to option (A).