10.5 g sample of copper metal at 25.0°C is heated by the addition of 150.0 J of energy. The final temperature of the copper is _____°C. The specific heat capacity of copper is 0.38 J/ goC.
q = mass x specific heat x (Tfinal-Tinitial)
q = 150 J; m = 10.5 g; sp.h. = 0.38 J/g*C; Ti = 25 C; Tf = ?
To find the final temperature of the copper, we can use the formula:
energy = mass * specific heat capacity * temperature change
Let's break down the information given:
mass = 10.5 g
specific heat capacity = 0.38 J/g°C
initial temperature = 25.0°C
energy added = 150.0 J
We can rearrange the formula to solve for temperature change:
temperature change = energy / (mass * specific heat capacity)
Now, let's substitute the given values into the equation:
temperature change = 150.0 J / (10.5 g * 0.38 J/g°C)
Next, we calculate the temperature change:
temperature change = 150.0 J / 3.99 J/°C
temperature change ≈ 37.60 °C
To find the final temperature, we add the temperature change to the initial temperature:
final temperature = initial temperature + temperature change
final temperature = 25.0 °C + 37.60 °C
final temperature ≈ 62.60 °C
Therefore, the final temperature of the copper is approximately 62.60 °C.