Final answer:
The specific heat of the substance which absorbs 7.5 * 10^3 J of heat when its temperature increases from 10°C to 90°C with a mass of 1.0 * 10^5 g is 0.09375 J/g°C.
Step-by-step explanation:
The specific heat of a substance is the amount of energy required to raise the temperature of 1 gram of the substance by 1°C. To determine the specific heat in this case, we will use the formula:
Specific Heat (c) = Q / (m × ΔT)
Where:
- Q is the amount of heat absorbed, in joules (J)
- m is the mass of the substance, in grams (g)
- ΔT is the change in temperature, in degrees Celsius (°C)
Given:
- Q = 7.5 × 103 J
- m = 1.0 × 105 g
- ΔT = 90°C - 10°C = 80°C
Plugging these into the formula gives us:
c = (7.5 × 103 J) / (1.0 × 105 g × 80°C)
After calculating, we find that the specific heat of the substance is:
c = 0.09375 J/g°C
Therefore, the specific heat of the substance is 0.09375 J/g°C.