Answer:
Step-by-step explanation:
The amount of heat (q) required to raise the temperature of a substance is given by:
q = mcΔT
where m is the mass of the substance, c is the specific heat capacity of the substance, and ΔT is the change in temperature.
To find the mass of carbon present, we need to rearrange the formula as follows:
m = q / (cΔT)
We are given the following information:
q = 57.5 kJ (the amount of heat required)
ΔT = 25.0°C - 20.0°C = 5.0°C (the change in temperature)
The specific heat capacity of carbon is approximately 0.71 J/g°C.
We need to convert the amount of heat from kJ to J:
q = 57.5 kJ * 1000 J/kJ = 57500 J
Now we can substitute the values into the formula and solve for m:
m = q / (cΔT) = 57500 J / (0.71 J/g°C * 5.0°C) ≈ 1620 g
Therefore, approximately 1620 grams of carbon are present.