In the extrusion of cold chocolate from a tube, work is done on the chocolate by the pressure applied by a ram forcing the chocolate through the tube. The work per unit mass of extruded chocolate is equal to p/r, where p is the difference between the applied pressure and the pressure where the chocolate emerges from the tube, and r is the density of the chocolate. Rather than increasing the temperature of the chocolate, this work melts cocoa fats in the chocolate.These fats have a heat of fusion of 150 kJ/kg.Assume that all of the work goes into that melting and that these fats make up 30% of the chocolate’s mass.What percentage of the fats melt during the extrusion if p = 5.5 MPa and r = 1200 kg/m3?

Principles of Physics: A Calculus-Based Text
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Chapter16: Temperature And The Kinetic Theory Of Gases
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In the extrusion of cold chocolate from a tube, work is done
on the chocolate by the pressure applied by a ram forcing the
chocolate through the tube. The work per unit mass of extruded
chocolate is equal to p/r, where p is the difference between the applied
pressure and the pressure where the chocolate emerges from
the tube, and r is the density of the chocolate. Rather than increasing
the temperature of the chocolate, this work melts cocoa fats in
the chocolate.These fats have a heat of fusion of 150 kJ/kg.Assume
that all of the work goes into that melting and that these fats make
up 30% of the chocolate’s mass.What percentage of the fats melt
during the extrusion if p = 5.5 MPa and r = 1200 kg/m3?

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