Question

How much thermal energy, in joules, is required to raise the temperatus 19.22-g sample of titanium (specific heat = 0.5235 J/gºC) from 19.3 °C to 85.4 °C?

a) 840. J
b) 243 J
c) 665 J
d) 109 J
e) None of the above

Answer 1

The thermal energy required to raise the temperature of a 19.22-g sample of titanium from 19.3 °C to 85.4 °C is calculated using the specific heat capacity formula and is found to be approximately 665 J.

Step-by-step explanation:

To determine how much thermal energy is required to raise the temperature of a substance, we use the formula:

q = mcΔT

where:

• q is the thermal energy in joules (J)
• m is the mass of the substance in grams (g)
• c is the specific heat capacity of the substance (J/g°C)
• ΔT is the change in temperature (°C)

For a 19.22-g sample of titanium with a specific heat of 0.5235 J/g°C, being heated from 19.3 °C to 85.4 °C, we can calculate the thermal energy as follows:

q = (19.22 g) × (0.5235 J/g°C) × (85.4 °C - 19.3 °C)

q = (19.22 g) × (0.5235 J/g°C) × (66.1 °C)

q = 664.93437 J

So the thermal energy required is approximately 665 J, which means the correct answer is c) 665 J.