A soccer goal has posts made of aluminum. The US Women\'s National Team is playi

Question

A soccer goal has posts made of aluminum. The US Women's National Team is playing against Canada and the temperature outside is a very cold 0 degree C. (Assume the temperature of the air equals the temperature of the aluminum.) The goal opening has vertical posts 2.44 m tall and a horizontal cross-bar 7.32 m wide. What is the area of the goal opening? Having lost to the United States, Canada demands a rematch later in the year. The temperature outside is a very high 37.0 degree C. If the mass of the aluminum in the goal is 4280 kg, how much heat energy was absorbed by the aluminum? How much longer are the posts and how much longer is the cross bar?

Explanation / Answer

a) In this case, it should be the area of a rectangle, which is:

A = b*h

A = 2.44 * 7.32 = 17.8608 m2

b) Q = m*cp*dT

the cp for aluminum is: 0.897 J / g K

Q = 4280000 g * 0.897 J / g K * (310 - 273)

Q = 142048.92 kJ

I have a doubt in part c, but I hope I could help you with this.

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