Final answer:
To find the amount of heat needed to raise the temperature of 11.1 g of silver from 31.0°C to 43.5°C, multiply the mass by the specific heat and temperature change, resulting in 32.438 joules of heat required.
Step-by-step explanation:
To calculate the amount of heat required to raise the temperature of 11.1 g of silver from 31.0°C to 43.5°C, you can use the formula q = mcΔT, where:
- q is the heat absorbed or released,
- m is the mass of the substance,
- c is the specific heat capacity, and
- ΔT is the change in temperature.
Given data:
- Mass (m) = 11.1 g
- Specific heat (c) = 0.234 J/g°C
- Initial temperature = 31.0°C
- Final temperature = 43.5°C
- Change in temperature (ΔT) = 43.5°C - 31.0°C = 12.5°C
Using the formula:
q = (11.1 g) x (0.234 J/g°C) x (12.5°C)
q = 32.438 J
Therefore, 32.438 joules of heat are required to raise the temperature of 11.1 grams of silver from 31.0°C to 43.5°C.