The volume of a 500 g sealed packet is 350 cm cube . Will the packet float or sink in water if density of water is 1 g cm raised to -3 ? What will be the mass of water displaced by this packet ?
To determine whether the sealed packet will float or sink in water, we need to compare the density of the packet to the density of water.
Density (ρ) is defined as the mass (m) divided by the volume (V):
ρ = m/V
Given that the mass of the sealed packet is 500 g and its volume is 350 cm³, we can substitute these values into the density equation:
Density of the packet (ρ_packet) = 500 g / 350 cm³
Next, we need to compare the density of the packet to the density of water. The density of water is given as 1 g/cm³.
If the density of the packet is greater than the density of water (ρ_packet > ρ_water), the packet will sink. If the density of the packet is less than the density of water (ρ_packet < ρ_water), the packet will float.
To find the mass of water displaced by the packet, we can use the formula:
Mass of water displaced = Density of water * Volume of packet
Substituting the given values, we have:
Mass of water displaced = 1 g/cm³ * 350 cm³
Now, let's calculate the results.
Density of the packet (ρ_packet) = 500 g / 350 cm³
Mass of water displaced = 1 g/cm³ * 350 cm³
Calculating these values, we can determine whether the packet will float or sink and find the mass of water displaced.
density is g/cm^3
500g/350cm^3 > 1 g/cm^3
since its density is > 1, it will sink.
the volume of water displaced is equal to the volume of the packet, whatever that is. The mass of water displaced is the same number, since its density is 1g/cm^3