The specific heat capacity of ethanol is 2440J/kg °C. How many joules of energy will be required to heat 150g ethanol to 35°C if the starting temperature is 22°C?
We have to consider that all the thermal energy Q that has to be required can be found if we consider that the mass of ethanol m has a specific heat capacity C. By using the equation that relates these variables with the final and initial temperatures (Tf and Ti) we can find the energy "Q=m_{ethanol}C_{ethanol}\\Delta T". After substitution we find:
"Q=m_{ethanol}C_{ethanol} (T_f-T_i)\n\\\\ Q=(150 \\,g)(\\frac{1\\,kg}{1000\\,g})(2440 \\frac{J}{kg\\, ^\\circ C}) (35-22)^\\circ C\n\\\\ Q=4758\\,J"
In conclusion, the energy required to heat 150 g of ethanol from 22 to 35 °C is 4758 Joules.
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