{"id":261385,"date":"2025-07-20T05:59:34","date_gmt":"2025-07-20T05:59:34","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=261385"},"modified":"2025-07-20T05:59:36","modified_gmt":"2025-07-20T05:59:36","slug":"show-that-1-mg-l-is-equal-to-1-ppm-of-a-solution-which-is-1-g-ml-2","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/07\/20\/show-that-1-mg-l-is-equal-to-1-ppm-of-a-solution-which-is-1-g-ml-2\/","title":{"rendered":"Show that 1 mg\/L is equal to 1 ppm of a solution, which is 1 g\/mL"},"content":{"rendered":"\n

Show that 1 mg\/L is equal to 1 ppm of a solution, which is 1 g\/mL.<\/p>\n\n\n\n

The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n

To show that 1 mg\/L is equal to 1 ppm (part per million), we can work through the relationship between mass and volume in a solution.<\/p>\n\n\n\n

Step 1: Understanding the relationship between mg and g.<\/strong>
First, note that 1 milligram (mg) is equal to 0.001 grams (g). Therefore:<\/p>\n\n\n\n

1\u2009mg=0.001\u2009g1 \\, \\text{mg} = 0.001 \\, \\text{g}1mg=0.001g<\/p>\n\n\n\n

Step 2: Defining ppm.<\/strong>
One part per million (ppm) represents one part of solute in one million parts of solution. Since ppm is a concentration term, it often describes mass of solute relative to mass of solution, or mass of solute relative to the volume of solution.<\/p>\n\n\n\n

For water, which has a density close to 1 g\/mL (or 1000 g\/L), 1 ppm corresponds to 1 mg of solute per liter of solution. In this case, the concentration is 1 mg of solute in 1 liter of solution.<\/p>\n\n\n\n

Step 3: Showing the equivalence.<\/strong>
Now, consider the concentration 1 mg\/L:<\/p>\n\n\n\n