A cube of aluminum has an edge length of 20 cm.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 ).When the internal energy of the cube increases by 47000 cal its temperature increases by:

Question

Quizplus · Accepted Answer

The internal energy of the cube can be calculated using the formula:
Internal energy = density x volume x specific heat x temperature change

Since the cube is a cube, it has a volume of: 
20 cm x 20 cm x 20 cm = 8000 cm^3

Plugging in the values given:
47000 cal = (2.7 g/cm^3) x (8000 cm^3) x (0.217 cal/g°C) x ΔT

Simplifying: 
ΔT = 47000 cal / (2.7 g/cm^3 x 8000 cm^3 x 0.217 cal/g°C) = 9.89°C

Rounding to the nearest whole number, the temperature increase is 10°C, which is answer choice B.

A Cube of Aluminum Has an Edge Length of 20