Question
A sample of aluminum has a volume of 23cm^3 The density of aluminum is 2.7 g/cm^3 Calculate the mass of the same using dimensional analysis.Make sure to show your work.
Solution
4.6
(287 Votes)
Hana
Professional ยท Tutor for 6 years
Answer
To calculate the mass of the aluminum sample using dimensional analysis, we use the formula for density:
Rearranging this formula to solve for mass:
### Given:- Volume (
) =
- Density (
) =
### Step-by-Step Solution:1. Write the formula for mass:
2. Substitute the given values into the formula:
3. Perform the multiplication:
4. Check units: - The unit
in the numerator (from volume) cancels with
in the denominator (from density), leaving the unit as grams (
), which is correct for mass.### Final Answer:The mass of the aluminum sample is: