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Answer :
We are given the dimensions of a block of sodium:
3.00 centimeters x 5.00 centimeters x 5.00 centimeters
and the mass of sodium (total) is 75.5 grams.
We are asked to calculate the density of the sodium block. First we need to determine the volume of the block:
V = l x w x h
V = 3 cm x 5 cm x 5 cm
V = 75 cm^3
Then, using the mass and the volume of the block we can calculate the density. The density of an object is given by:
density = mass / volume
density = 75.5 grams / 75 cm^3
density = 1.01 g / cm^3
Therefore, the density of the sodium block is 1.01 g / cm^3
3.00 centimeters x 5.00 centimeters x 5.00 centimeters
and the mass of sodium (total) is 75.5 grams.
We are asked to calculate the density of the sodium block. First we need to determine the volume of the block:
V = l x w x h
V = 3 cm x 5 cm x 5 cm
V = 75 cm^3
Then, using the mass and the volume of the block we can calculate the density. The density of an object is given by:
density = mass / volume
density = 75.5 grams / 75 cm^3
density = 1.01 g / cm^3
Therefore, the density of the sodium block is 1.01 g / cm^3
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Final answer:
To calculate the density of a block of sodium, multiply its dimensions to find the volume and then divide the mass by the volume. The density is found to be 1.007 g/cm³.
Explanation:
The question involves calculating the density of sodium using its mass and volume. The formula for density (ρ) is mass (m) divided by volume (V), which can be expressed as ρ = m/V.
To find the density of the sodium block, firstly calculate the volume of the block. The volume is the product of its length, width, and height:
Volume = 3.00 cm × 5.00 cm × 5.00 cm = 75.00 cm³
Next, use the mass of the sodium block and the calculated volume to determine the density:
Density = mass / volume
Density = 75.5 g / 75.00 cm³ = 1.007 g/cm³
Therefore, the density of sodium is 1.007 g/cm³.
