Question

Calculate the energy required to raise (29.2 , {g}) of aluminum from (27.2^˚ {C}) to (41.5^˚ {C}). (Specific heat of aluminum = (0.89 , {J/g} ⋅ {K}))

Answer 1

To calculate the energy needed to heat 29.2 g of aluminum from 27.2°C to 41.5°C, use the formula Q = mcΔT. The energy required is 370.524 J.

Step-by-step explanation:

The energy required to raise the temperature of a substance can be calculated using the formula Q = mcΔT, where:

• Q is the heat energy (in joules, J),
• m is the mass of the substance (in grams, g),
• c is the specific heat capacity (in joules per gram per degree Celsius, J/g°C),
• ΔT is the change in temperature (in degrees Celsius, °C).

In this case, the mass m of aluminum is 29.2 g, the specific heat capacity c is 0.89 J/g°C, and the change in temperature ΔT is (41.5 °C - 27.2 °C).

First, calculate the change in temperature:

ΔT = 41.5 °C - 27.2 °C = 14.3 °C

Next, use the formula to calculate the energy required:

Q = mcΔT

Q = (29.2 g) ⋅ (0.89 J/g°C) ⋅ (14.3 °C)

Q = 370.524 J

The energy required to raise 29.2 g of aluminum from 27.2°C to 41.5°C is 370.524 J.