86,472.46 J
The heat required to melt ethanol can be calculated using the formula:
heat = mass × heat of fusion
After plugging in the values it looks like this:
Heat = 199 g × 109.1 J/g
= 21489.9
In order to heat the molten ethanol to a higher temperature, the heat capacity of ethanol must also be considered. The heat capacity of ethanol is 2.44 J/g × degree Celsius. To bring the molten ethanol to a sufficient temperature, we need to know the desired final temperature and the initial temperature (the melting point of ethanol, -114.1 degrees Celsius). Let's say the desired final temperature is 25 degrees Celsius.
The heat required to raise the temperature of molten ethanol can be calculated using the formula:
heat = mass × heat capacity × (final temperature - initial temperature)
After plugging in the values it looks like this:
Heat = 199 g × 2.44 J/g degrees Celsius × (25 degrees - (-114.1 degrees))
= 199 g × 2.44 J/g degrees Celsius × 139.1 degrees
= 64982.56 J
add 21489.9 J + 64982.56 J = 86,472.46 J
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