Question

Density of ice is p and that of water is sigma what will be the decrease in volume when a mass of ice melts

Answer 1

Volume of ice Vi = Mass/Density = M/ρ Volume of ice Vw = Mass/Density = M/σ Decrease in volume = Vi − Vw = M/ρ − M/σ = M(1/ρ − 1/σ).

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Answer 2

The decrease in volume will be - M(1/ρ − 1/σ)

Density of ice = p (Given)

Density of water = σ (Given)

Therefore,

Volume of ice is = Vi = Total Mass/Density = M/ρ

Volume of water is = Vw = Total Mass/Density = M/σ

Ice is less dense than water, as the hydrogen bond forces the molecules to move further apart, which reduces the density

Decrease in volume = Vi − Vw

= M/ρ − M/σ

= M(1/ρ − 1/σ)

Therefore, the decrease in volume when a mass of ice melts is M(1/ρ − 1/σ).