Answer to Question #109186 in General Chemistry for Joyce

Question

Suppose four 30g ice are added to a glass containing 200cm3 of juice at 20degree Celsius. The juice has a density of 1gcm3, specific heat of 4.184J/g-K and heat of fusion of 333J/g. Determine whether or not the ice will melt

Answer 1

In order to melt all the ice you need at least: mass_ise*heat_fusion=30 g *333J/g=9,99 kJ = Q

If the ice has not melted, then the juice has cooled to 0 * C, and transferred all the heat to the ice:

$\Delta$ T*mass_juise*C_heat=20 *C * 200 g *4,184J*C^-1*g^-1

16,736kJ =Q2

Q2>Q1

ice melted