A Styrofoam cooler has a surface area of 2,700 cm2 and a wall thickness of 3.00 cm. Styrofoam has a coefficient of thermal conductivity of 0.010 W/m °C. A 2.00 kg block of ice is placed inside the cooler that has a temperature inside of 2°C. When the temperature outside is 30.0°C, the ice lasts for 8.00 hours. If the temperature outside becomes 20.0°C, then how long will the ice last?
amount of heat transferred Q = K*A*dt*t/l
when the temperature outside = 30
Q = 0.01*2700*10^-4*(30-2)*8*60*60/0.03
when the temperature outside = 20
Q = 0.01*2700*10^-4*(20-2)*x*60*60/0.03
therefore
0.01*2700*10^-4*(20-2)*x*60*60/0.03 = 0.01*2700*10^-4*(30-2)*8*60*60/0.03
x = 12.4 hours
A Styrofoam cooler has a surface area of 2,700 cm2 and a wall thickness of 3.00...
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Main Menu Contents Course Content - Styrofoam Cooler • T otes verdade Print Info A styrofoam cooler (K = .030 W/m° C) has outside dimensions of 0.170 m x 0.210 mx 0.340 m, and an average thickness of 3.0 cm. About how long will it take for 2.60 kg of ice at 0° to melt in the cooler if the outside temperature is 24.0°? Som A Thes 0/20 e Post Discussion Send Feedback
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