Specific heat means the heat to raise the temperature of 1 gram of the material by 1 degree C.
So if you want to raise the temperature of that one gram from 19 to 35 degrees, that same gram will need
And if you want to raise the temperature of 193 grams in stead of just 1 gram, you will need 193 times as much heat.
These two combined give us the following equation:
multiply again by:
You know the specific heat of ethanol, which represents the amount of heat required to increase the temperature of 1 gram of ethanol by 1 degree Celsius.
In other words, to get the temperature of 1 gram of ethanol to increase by 1 degree Celsius, you must supply 2.46 J of energy to it.
Now, you know the initial and final temperature of the sample -
You must supply enough energy to increase the temperature of the sample by
The relationship between supplied energy (or heat), mass, and increase in temperature is given by
To determine how much energy is required to heat 193 g of ethanol by
Rounded to two sig figs, the number of sig figs given for 19 and 35 degrees Celsius, the answer will be
The heat required is equal to the mass of ethanol (193 g) multiplied by the specific heat capacity (2.46 J/g-C) times the desired temperature difference (35 C - 19 C = 16 C):