A Styrofoam cooler has a surface area of 2,700 cm² and a wall thickness of 3.0 cm. Styrofoam has a thermal conductivity of 0.010 W/m °C. A 2.0 kg block of ice is placed inside the cooler that has a temperature inside of 2.0 °C. If the heat of fusion for ice is 333.7 kJ/kg and the temperature outside is 35.0 °C, then how long will the ice last? Ignore the effect of the air inside the cooler.

Question

Quizplus · Accepted Answer

The rate of heat transfer through the cooler can be calculated using the formula: Q/t = kA(T_out - T_in)/d. Substituting the given values, we find the rate of heat transfer. Then, using the heat of fusion, we calculate the total heat required to melt the ice and divide it by the rate of heat transfer to find the time. This results in approximately 62 hours.

A Styrofoam Cooler Has a Surface Area of 2,700 Cm2

A Styrofoam Cooler Has a Surface Area of 2,700 Cm²