gold and silver have densities of 19.3 and 10.5 grams per cubic centimer, respectively. If you have eual volumes of each, which one will have the larger mass?
I am thinking the gold. how do i prove it?
Thank you
mass = volume * density
same volume, so high density has more mass
To prove which substance has a larger mass given equal volumes, we can compare their densities. Density is defined as mass per unit volume.
Given:
Density of gold = 19.3 g/cm³
Density of silver = 10.5 g/cm³
If we have equal volumes of each substance, say 1 cubic centimeter (1 cm³) of gold and 1 cm³ of silver, we can find their masses using the formula:
Mass = Density x Volume
For gold:
Mass of 1 cm³ of gold = 19.3 g/cm³ x 1 cm³ = 19.3 grams
For silver:
Mass of 1 cm³ of silver = 10.5 g/cm³ x 1 cm³ = 10.5 grams
Comparing the masses, we find that 1 cm³ of gold has a larger mass (19.3 grams) than 1 cm³ of silver (10.5 grams). Therefore, gold will have the larger mass when equal volumes of gold and silver are considered.