A 150 g sample is composed of
90 g of magnesium (Mg) and 60 g
of oxygen (O).
What is the percent by mass of O
in the sample?
40%
60%
50%
70%



Answer :

To determine the percent by mass of oxygen in the sample, follow these steps:

1. Identify the total mass of the sample.
- The total mass of the sample is 150 grams.

2. Identify the mass of oxygen in the sample.
- The mass of oxygen in the sample is 60 grams.

3. Calculate the percent by mass of oxygen.
- The formula to calculate the percent by mass of an element in a sample is:
[tex]\[ \text{Percent by mass} = \left( \frac{\text{mass of element}}{\text{total mass of sample}} \right) \times 100 \][/tex]
- Plugging in the values:
[tex]\[ \text{Percent by mass of oxygen} = \left( \frac{60 \text{ grams}}{150 \text{ grams}} \right) \times 100 \][/tex]
[tex]\[ \text{Percent by mass of oxygen} = \left( \frac{60}{150} \right) \times 100 \][/tex]
[tex]\[ \text{Percent by mass of oxygen} = 0.4 \times 100 \][/tex]
[tex]\[ \text{Percent by mass of oxygen} = 40 \][/tex]

4. Select the correct option.
- The calculated percent by mass of oxygen is 40%.

So, the percent by mass of oxygen in the sample is 40%.