Final answer:
The amount of heat necessary to raise the temperature of 84g benzene by 57K is calculated using the formula q = mcΔT, where q represents the heat added, m is the mass, c is the specific heat capacity, and ΔT is the change in temperature. Plugging in the values, we find that the heat required is 4993.8 J.
Step-by-step explanation:
To calculate the amount of heat necessary to raise the temperature of 84g of benzene by 57K, you can use the formula that relates the heat added to the specific heat capacity, mass, and temperature change: q = mcΔT.
Where:
- q is the heat added in joules (J)
- m is the mass in grams (g)
- c is the specific heat capacity in joules per gram per Kelvin (J/g°K)
- ΔT is the change in temperature in Kelvin (K)
Given:
- m = 84g
- c = 1.05 J/g°K
- ΔT = 57K
Substitute the given values into the equation:
q = (84g) × (1.05 J/g°K) × (57K)
q = 4993.8 J
The amount of heat required is approximately 4993.8 J.