A thief uses a bag of sand to replace a gold statue that sits on a weight sensitive alarmed pedestal. The bag of sand and the statue have exactly the same volume 1.75 L. Assume that the mass of the bag is negligible.
A) calculate the mass. ( density of gold = 19.3 g/cm3
mass Au = volume x density
mass Au = 1.75*1000 mL x 19.3 g/mL = 33,775 grams or about 74 lbs.
The REAL question should be how much is th difference between sand and Au. Sand has a density of about 2.6 so
mass SiO2 = 1.75*1000*2.6 = 4,550 grams or about 10 lbs.
You could lift 10 lbs with one hand; I don't know about 74.
To calculate the mass of the gold statue, we first need to find the mass of 1.75 L of gold.
The density of gold is given as 19.3 g/cm³. Since 1 L is equal to 1000 cm³, we can convert the volume of the statue to cm³:
1.75 L * 1000 cm³/L = 1750 cm³
Now we can calculate the mass using the formula:
Mass = Density * Volume
Mass = 19.3 g/cm³ * 1750 cm³
Multiplying the values, we get:
Mass = 33,775 g
Therefore, the mass of the gold statue is 33,775 g.
To calculate the mass of the gold statue, we can use the formula:
mass = density × volume
Given that the density of gold is 19.3 g/cm^3 and the volume of the statue is 1.75 L (or 1.75 cm^3 since the volumes are equal), we can substitute these values into the formula:
mass = 19.3 g/cm^3 × 1.75 cm^3
Calculating this equation gives us:
mass = 33.775 g
Therefore, the mass of the gold statue is approximately 33.775 grams.