Question

A plant fertilizer contains 15% by mass nitrogen (N). In a container of soluble plant food, there are 10.0 oz of fertilizer. How many grams of nitrogen are in the container?

Answer 1

To calculate the amount of nitrogen in the container, convert the weight from ounces to grams and then apply the percentage by mass of nitrogen. The container of plant fertilizer contains 42.525 grams of nitrogen.

Step-by-step explanation:

To find out how many grams of nitrogen are in the container of fertilizer, we can start by converting the weight of the fertilizer from ounces to grams, and then calculate the mass of nitrogen present based on the given percentage. There are approximately 28.35 grams in one ounce. Therefore, a 10.0 oz fertilizer weighs 283.5 grams (10.0 oz × 28.35 g/oz).

Next, since the fertilizer contains 15% by mass nitrogen, we multiply the total mass of the fertilizer by this percentage to find out the mass of nitrogen:

0.15 × 283.5 grams = 42.525 grams of nitrogen.

Therefore, the container of fertilizer has 42.525 grams of nitrogen.

Answer 2

The trick here is to convert the unit oz or ounce to grams. The ratio is 1 ounce is to 28.34 grms. This would mean 10 oz is equivalent to 283.50 grams. It is stated that the fertilizer is 15% by mass nitrogen. This means for every 100g of fertilizer 15 grams of that is nitrogen. Hence for every 283.50 grams of fertilizer

283.50 * (15/100) = 42.52 grams is nitrogen.