If you add 163.11 g of ice at 0.0 °C to 0.087 L of water at 39.9 °C and allow the water to cool to 0.0 °C, how many grams of ice will remain?

1 Answer
Trevor Ryan.
May 31, 2016

#124.16g#

Explanation:

Conservation of energy - Energy lost by hot water equals energy gained by ice which goes towards melting the ice.

Hence : #(mcDeltaT)_(water)=(mL_f)_(ice)#

#therefore (1000kg//m^3xx0.000087m^3)(4180J//kg.K)(39.9^@C)=(m)(334000J//kg)#

Solving we get #m=0.03895kg=38.95g#

Thus grams of ice remaining unmelted #=163.11-38.95=124.16g#

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