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Solved: A single ice cube with mass 9.70 g floats in a
Chapter 12, Problem 64P(choose chapter or problem)
Problem 64P
A single ice cube with mass 9.70 g floats in a glass completely full of 420 cm3 of water. You can ignore the water’s surface tension and its variation in density with temperature (as long as it remains a liquid). (a) What volume of water does the ice cube displace? (b) When the ice cube has completely melted, has any water overflowed? If so, how much? if not, explain why this is so. (c) Suppose the water in the glass had been very salty water of density 1050 kg/m3. What volume of salt water would the 9.70-g ice cube displace? (d) Redo part (b) for the freshwater ice cube in the salty water.
Questions & Answers
QUESTION:
Problem 64P
A single ice cube with mass 9.70 g floats in a glass completely full of 420 cm3 of water. You can ignore the water’s surface tension and its variation in density with temperature (as long as it remains a liquid). (a) What volume of water does the ice cube displace? (b) When the ice cube has completely melted, has any water overflowed? If so, how much? if not, explain why this is so. (c) Suppose the water in the glass had been very salty water of density 1050 kg/m3. What volume of salt water would the 9.70-g ice cube displace? (d) Redo part (b) for the freshwater ice cube in the salty water.
ANSWER:Solution 64P
Step 1 of 6
In the given problem, the mass of the ice cube =9.7 g which floats in glass full of
=420
of water with density
. Here in part(a) we need to calculate the volume of water the ice displaces
, in part(b) we need to find whether any water has overflown when ice completely melts and in part (c) and (d) we need to repeat the above two parts for the salty water with density
.