Final answer:
To find out how much heat the titanium sample released, we use the formula Q = mcΔT. With the specific heat of titanium as 0.523 J/g°C, the calculated heat released is 2384.45 J, and the process is exothermic.
Step-by-step explanation:
To calculate the amount of heat released as a 35 g titanium sample cools down from 150 °C to 20 °C, we need to use the formula:
Q = mcΔT
where:
- Q represents the heat exchanged,
- m is the mass of the substance,
- c is the specific heat capacity of the substance, and
- ΔT is the change in temperature.
Firstly, we must find out the specific heat capacity (c) of titanium, which is 0.523 J/g°C. With the temperature change (ΔT) being 150 °C - 20 °C = 130 °C, we can now calculate:
Q = 35 g * 0.523 J/g°C * 130 °C
This results in Q = 35 * 0.523 * 130 = 2384.45 J.
Since the sample is releasing heat as it cools, this process is exothermic.