A piece of ice is floating on a liquid of density 1.5g*cm^(-3) kept in a beaker. Will there be any change in the level of the liquid in the beaker as the piece of ice melts completely?

A piece of ice is floating on a liquid of density 1.5g*cm^(-3) kept in

1.	A piece of ice is floating on a liquid of density 1.5g*cm^(-3) kept in a beaker. Will there be any change in the level of the liquid in the beaker as the piece of ice melts completely?
Answer» Solution :If the piece of ice melts completely, then the level of the liquid in the BEAKER will rise. Let the mass of the piece of ice be m. So, the mass of the liquid displaced is also m. `therefore` Volume of displaced liquid, `V_(1)=m/rho_(l)" "[rho_(l)="density of the liquid"]` As the piece of ice melts completely, the mass of water formed = m. But the volume of that water, `V_(2)=m/rho_(w)=m" "[rho_(w)="density of water"]` According to QUESTION, `rho_(l)gtrho_(w)`, so `V_(2)gtV_(1)`. HENCE, the level of liquid in the beaker will rise. If the liquid is IMMISCIBLE in water, then water will float above the liquid.