Final answer:
To calculate the temperature increase, use the heat equation q = m × c × ΔT. Given that 15.4 g of silver absorb 332 J and the specific heat is 0.24 J/g°C, solving for ΔT yields a temperature increase of approximately 89.8°C.
Step-by-step explanation:
To calculate how much the temperature of the silver will increase when it absorbs heat, you can use the formula:
q = m × c × ΔT
where
- q is the heat absorbed in joules (J)
- m is the mass in grams (g)
- c is the specific heat in joules per gram per degree Celsius (J/g°C), and
- ΔT is the change in temperature in degrees Celsius (°C).
We can rearrange the formula to solve for ΔT (change in temperature):
ΔT = q / (m × c)
In this case
- q = 332 J
- m = 15.4 g
- c = 0.24 J/g°C
Therefore, the change in temperature is:
ΔT = 332 J / (15.4 g × 0.24 J/g°C) = 332 J / (3.696 J/°C) ≈ 89.8°C
The temperature of the silver will increase by approximately 89.8°C.