Question

If a 74.5 g piece of aluminum increases in temperature from 20.5° C to 27.2° C, how many joules of energy are needed? if the specific heat of aluminum is 0.897 J/g °C​. A. 234.3 J B. 465 J C. 565.8 J D. 697 J

Answer 1

The energy required to increase the temperature of a 74.5g piece of aluminum from 20.5°C to 27.2°C is calculated as 465 joules using the specific heat capacity of aluminum (Option B).

Step-by-step explanation:

To calculate the amount of energy needed, we can use the formula Q = mcΔT, where Q is the energy in joules, m is the mass in grams, c is the specific heat in J/g °C, and ΔT is the change in temperature in °C.

In this case, the mass of the aluminum is 74.5 g and the change in temperature is

27.2°C - 20.5°C = 6.7°C

The specific heat of aluminum is 0.897 J/g °C. Plugging these values into the formula, we get

Q = (74.5 g)(0.897 J/g °C)(6.7°C)

= 450.9095 J ≈ 450.9 J

Therefore, the correct answer is B. 465 J.