Problem 69

Question

What is the volume of \(1.00 \mathrm{kg}\) of mercury?

Step-by-Step Solution

Verified
Answer
Answer: The volume of 1.00 kg of mercury is approximately 7.39 x 10^{-5} m^3.
1Step 1: Find the density of mercury
Lookup the density of mercury in a reference or table. The density of mercury is approximately \(13,534 \mathrm{kg/m^3}\).
2Step 2: Write down the given mass of mercury
We are given the mass of mercury as \(1.00 \mathrm{kg}\).
3Step 3: Calculate the volume of mercury
Now, we can calculate the volume using the formula: \(\text{Volume} = \frac{\text{Mass}}{\text{Density}}\) Substitute the given values: \(\text{Volume} = \frac{1.00 \mathrm{kg}}{13,534 \mathrm{kg/m^3}}\)
4Step 4: Simplify and find the volume
Divide the mass by the density: \(\text{Volume} = 7.39 \times 10^{-5} \mathrm{m^3}\) The volume of 1.00 kg of mercury is approximately \(7.39 \times 10^{-5} \mathrm{m^3}\).