Final answer:
The change in temperature of 250 g of ethanol using 17.5 kJ of energy is approximately 28.69°C, calculated by using the specific heat capacity of ethanol and converting the energy from kJ to J.
Step-by-step explanation:
To calculate the change in temperature of 250 g of ethanol using 17.5 kJ of energy, we'll need to use the specific heat capacity formula: q = mcΔT, where q is the heat energy (in joules), m is the mass (in grams), c is the specific heat capacity (in J/g°C), and ΔT is the change in temperature (in degrees Celsius).
The specific heat capacity of ethanol is approximately 2.44 J/g°C. Therefore, we can rearrange the formula to solve for ΔT: ΔT = q / (mc).
First, we need to convert the energy from kilojoules to joules: 17.5 kJ = 17,500 J.
Now we can calculate the change in temperature:
ΔT = 17,500 J / (250 g × 2.44 J/g°C)
ΔT = 17,500 J / (610 g°C)
ΔT = 28.69°C
So, the change in temperature of the ethanol will be approximately 28.69°C.