Question
Apple juice in a glass has a mass of 0.25 kilograms and a volume of 320 cm^3. Which of the following correctly uses this information to calculate the density of the apple juice?
a. 0.78 g/cm^3
b. 0.00078 g/cm^3
c. 80,000 g/cm^3
d. 80 g/cm^3
a. 0.78 g/cm^3
b. 0.00078 g/cm^3
c. 80,000 g/cm^3
d. 80 g/cm^3
Answers
GPT-4o mini
To calculate the density of a substance, you can use the formula:
\[
\text{Density} = \frac{\text{Mass}}{\text{Volume}}
\]
In this case, the mass of the apple juice is 0.25 kilograms and the volume is 320 cm³. First, we need to convert the mass from kilograms to grams because the options are in grams:
\[
0.25 \, \text{kg} = 250 \, \text{g}
\]
Now, we can substitute the values into the density formula:
\[
\text{Density} = \frac{250 \, \text{g}}{320 \, \text{cm}^3}
\]
Calculating this gives:
\[
\text{Density} = 0.78125 \, \text{g/cm}^3
\]
Rounding this to two decimal places, we get approximately:
\[
0.78 \, \text{g/cm}^3
\]
Based on the options provided, the correct answer is:
**a. 0.78 g/cm³**
\[
\text{Density} = \frac{\text{Mass}}{\text{Volume}}
\]
In this case, the mass of the apple juice is 0.25 kilograms and the volume is 320 cm³. First, we need to convert the mass from kilograms to grams because the options are in grams:
\[
0.25 \, \text{kg} = 250 \, \text{g}
\]
Now, we can substitute the values into the density formula:
\[
\text{Density} = \frac{250 \, \text{g}}{320 \, \text{cm}^3}
\]
Calculating this gives:
\[
\text{Density} = 0.78125 \, \text{g/cm}^3
\]
Rounding this to two decimal places, we get approximately:
\[
0.78 \, \text{g/cm}^3
\]
Based on the options provided, the correct answer is:
**a. 0.78 g/cm³**