The specific heat capacity of ethanol is 2,440 J/kg°C. How much energy will be required to raise the temperature of 150g of ethanol to 35°C, if the starting temperature is 22°C?Energy = mass × specific heat capacity × temperature change
Question
The specific heat capacity of ethanol is 2,440 J/kg°C. How much energy will be required to raise the temperature of 150g of ethanol to 35°C, if the starting temperature is 22°C?Energy = mass × specific heat capacity × temperature change
Solution
First, we need to calculate the temperature change. The final temperature is 35°C and the initial temperature is 22°C. So, the temperature change is 35°C - 22°C = 13°C.
Next, we need to convert the mass of ethanol from grams to kilograms, because the specific heat capacity is given in J/kg°C. We know that 1 kg = 1000 g, so 150 g = 0.15 kg.
Now we can use the formula for calculating energy: Energy = mass × specific heat capacity × temperature change. Substituting the given values into the formula, we get:
Energy = 0.15 kg × 2,440 J/kg°C × 13°C = 4,782 J.
So, it will require 4,782 Joules of energy to raise the temperature of 150g of ethanol to 35°C from 22°C.
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