Density of ice is ρ and that of water is σ. What will be the decrease in volume when a mass M of ice melts
Question
Density of ice is ρ and that of water is σ. What will be the decrease in volume when a mass M of ice melts
Solution
The volume of a substance is given by the formula V = M/ρ, where M is the mass and ρ is the density.
-
First, calculate the volume of the ice before it melts using the formula V_ice = M/ρ.
-
Then, calculate the volume of the water after the ice melts using the formula V_water = M/σ.
-
The decrease in volume when the ice melts is then given by the difference between the initial volume of the ice and the final volume of the water. So, ΔV = V_ice - V_water = M/ρ - M/σ.
This is the decrease in volume when a mass M of ice melts.
Similar Questions
What happens to water when it changes to ice? Its density increases. Its density decreases. Its mass increases. Its mass decreases. Its volume increases. Its volume decreases.
There is a 16% increase in volume when a liquid freezes to its solid state. The percentage decrease when solid melts to liquid again, is?
Understanding that the density of ice and water change with temperature, what two interesting facts can be revealed from such knowledge?ResponsesA Water’s maximum density is at 0 °C.Water’s maximum density is at 0 °C.B Water’s maximum density is at 4 °C.Water’s maximum density is at 4 °C.C The density of ice is significantly greater than water.The density of ice is significantly greater than water.D The density of water is significantly greater than ice.
) A lake has a layer of ice on its surface. The area of the lake is 1800 m2 . The ice has a thickness of 0.025 m. The density of ice is 920 kg / m3 . Calculate the mass of ice on the lake.
One special physical property of water is that when water becomes solid(ice), it expands because the volume increases and the density:Question 6Select one:A.Increases and it floats in waterB.Decreases and it floats in waterC.Increases and it sinks in waterD.Decreases and it sinks in water
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.