Question

The specific heat of iron is 0.473 J/g degrees Celsius. A 400.0 gram sample of iron at 20.0 degrees Celsius releases 2270.4 J of heat energy. What is the new temperature of the iron?

Answer 1

The new temperature of iron after releasing 2270.4 J of energy is calculated using the specific heat formula. After solving the equation, the final temperature is approximately 7.05 °C.

Step-by-step explanation:

Calculating the New Temperature of Iron After Heat Loss

To find the new temperature of a 400.0 gram sample of iron after it releases heat, we can use the formula q=m × c × ΔT, where:

q is the amount of heat transferred (in this case, 2270.4 J, released)m is the mass of the object (400.0 grams)c is the specific heat capacity (0.473 J/g°Celsius)ΔT is the change in temperature (ΔT = T_final - T_initial)

Since heat is released, q will be negative, so we have:

-2270.4 J = 400.0 g × 0.473 J/g°C × (T_final - 20.0 °C)

We can solve this equation for T_final:

First, divide both sides by (400.0 g × 0.473 J/g°C) to isolate T_final - 20.0 °C:

-2270.4 J / (400.0 g × 0.473 J/g°C) = T_final - 20.0 °C

Then, add 20.0 °C to both sides to solve for T_final:

T_final = (-2270.4 J / (400.0 g × 0.473 J/g°C)) + 20.0 °C

T_final ≈ 7.05 °C

The iron's new temperature after releasing energy is approximately 7.05 °C.