Aluminum Cube Raised Temperature

[1MileCrash]

Homework Statement

A cube of aluminum is 20 cm on edge. Aluminum has a density 2.7 times that of water (1 g/cm3) and a specific heat 0.217 times that of water (1 cal/g·C). The heat in calories needed to raise the temperature of the cube from 20°C to 30°C is about:

Homework Equations

The Attempt at a Solution

I say 470000, book says 47000. Who's right?

Mass = 20^3 (2.7) = 21600 g

If 2.17 cal are required to raise 1 gram 1 degree, then 46872 are required to raise 21600 grams 1 degree.

But we want to raise it 10 degrees, not 1 degree.

So, 46872 x 10 is about 470000.

 

[gneill]

The specific heat of aluminum was stated to be 0.217 times that of water, not 2.17 times.

 

[1MileCrash]

Dang! I should have caught that, it's a biological requirement of water to have a pretty high specific heat!