Final answer:
To increase the temperature of 13.0 g of ethanol from -11.0 ℃ to 23.6 ℃, 264.3 calories are required. This is calculated using the specific heat and the temperature change.
Step-by-step explanation:
The question involves calculating the calories required to increase the temperature of a given mass of ethanol. The specific heat of ethanol is provided, and the temperature change is from -11.0 ℃ to 23.6 ℃. To find the heat in calories, we will use the formula:
q = (mass) x (specific heat) x (temperature change)
First, convert the specific heat from J/g℃ to cal/g℃:
2.46 J/g℃ x (1 cal/4.184 J) = 0.588 cal/g℃
Now, plug in the values:
q = (13.0 g) x (0.588 cal/g℃) x (23.6 ℃ - (-11.0 ℃))
q = (13.0 g) x (0.588 cal/g℃) x (34.6 ℃)
q = 264.3 cal
Therefore, to increase the temperature of 13.0 g of ethanol from -11.0 ℃ to 23.6 ℃, 264.3 calories are required.