Final answer:
To raise the temperature of 5.00 g of mercury from 22.0°C to 57.0°C, you need to use the formula q = mcΔT with a specific heat capacity of 0.14 J/g°C, which results in 24.5 joules of heat energy required.
Step-by-step explanation:
To calculate the amount of heat needed to raise the temperature of a substance, the formula q = mcΔT, where q is the heat energy, m is the mass, c is the specific heat capacity, and ΔT is the change in temperature, is used.
In this case, the specific heat capacity (c) of liquid mercury is 0.14 J/g°C. The mass (m) of mercury is 5.00 g, and the temperature change (ΔT) is from 22.0°C to 57.0°C, which is a change of 35.0°C.
Plugging these values into the equation:
- q = (5.00 g)(0.14 J/g°C)(57.0°C - 22.0°C)
- q = (5.00 g)(0.14 J/g°C)(35.0°C)
- q = 24.5 J
Therefore, 24.5 joules of heat are needed to raise the temperature of 5.00 g of mercury from 22.0°C to 57.0°C.