which has greater volume?
a) 1.0 kg of feathers or 1.0 kg of lead
b) 100 g of gold or 100 g of water
c) 1.0 L of copper or 1.0 L or mercury
lead
To determine which substance has a greater volume, we need to compare their densities. The density is the mass per unit volume of a substance. The equation for density is:
Density = Mass / Volume
Let's compare the substances step by step:
a) 1.0 kg of feathers or 1.0 kg of lead:
The density of feathers is significantly less than that of lead. Therefore, the volume of 1.0 kg of feathers will be greater than the volume of 1.0 kg of lead.
b) 100 g of gold or 100 g of water:
The density of gold is higher than that of water. Therefore, the volume of 100 g of gold will be smaller than the volume of 100 g of water.
c) 1.0 L of copper or 1.0 L of mercury:
The density of copper is higher than that of mercury. Therefore, the volume of 1.0 L of copper will be smaller than the volume of 1.0 L of mercury.
To determine which has a greater volume, we need to consider the density of the substances. The density is defined as the mass per unit volume.
a) 1.0 kg of feathers or 1.0 kg of lead:
To compare the volumes, we need to know the densities of feathers and lead. Feathers have a low density due to the air trapped within them, while lead has a high density. Therefore, even though both have the same mass, 1.0 kg, feathers will occupy a much greater volume compared to lead.
b) 100 g of gold or 100 g of water:
The density of gold is much higher than the density of water. So, despite having the same mass of 100 g, gold will occupy a smaller volume compared to water.
c) 1.0 L of copper or 1.0 L of mercury:
To compare the volumes, we need to consider the densities of copper and mercury. Copper has a higher density than mercury. So, despite both having the same volume of 1.0 L, copper will have a greater mass and therefore a greater mass-to-volume ratio.
In summary:
a) 1.0 kg of feathers will have a greater volume than 1.0 kg of lead.
b) 100 g of water will have a greater volume than 100 g of gold.
c) 1.0 L of copper will have a greater volume than 1.0 L of mercury.
The less dense material has greater volume in each case. The masses are the same for each pair of materials.
Volume = Mass/density