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If you allow the ice in a full glass of ice water to melt, the glass will overflow

If you allow the ice in a full glass of ice water to melt, the glass will overflow

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1 Answers

Gaurav
askIITians Faculty 164 Points
9 years ago
Water will not overflow. This is simply because the density of ice is less than that of water.
Let us understant this mathematically
Let,
Mass of ice = Mass of the water formed after melting= m

Volume of the ice = v1
volume of the liquid =v2
Density of ice (d1) = m/v1
Density of water(d2) = m/v2

Now as we know that d1 < d2
i.e. m/v1 < m/v2
or
1/v1 < 1/v2
or v1> v2
This indicates that volume of ice is more than that of liquid so the glas will not overflow.

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