The density of ice is x gm/cc. and that of water is y gm/cc. What is the change in volume in cc., when m gm of ice melts

Q: The density of ice is x gm/cc. and that of water is y gm/cc. What is the change in volume in cc., when m gm of ice melts ?
(A) m(y – x)
(B) (y – x)/m
(C) mxy (x – y)
(D) m (1/y – 1/x)

Solution: m = volume × density
Mass remains constant.
Vice × ρice = Vwater  ×ρwater
Vwater = Vice × ρicewater
= m/y
ΔV = Vwater – Vice
= m/y -m/x = m(1/y – 1/x)

Author: Rajesh Jha

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