Respuesta :
The amount of heat needed to melt of solid acetic acid is 32.4 kJ.
Given temperatures are
Heat capacity for acetic acid = 2.06 J/g* °C
The melting point of acetic acid = 16.64 °C
Enthalpy of fusion for acetic acid = 11.73 kJ/mol
Number of moles of acetic acid = 124 g/(60.05 g/mol) = 2.064946 mol
1. Conversion of solid acetic acid at 16.64 °C to liquid acetic acid at 16.64 °C
q1 =m*ΔHf = 2.064946 mol * 11.73 kJ/mol = 24.22182 kJ
2. Conversion of liquid acetic acid at 16.64 °C to gas at 48.7 °C
q2 = m*C*ΔT = 124 g* 2.06 J/g* °C * (48.7 – 16.64 ) °C = 8189.406 J = 8.189406 kJ
Total heat energy required = q1 + q2
= 24.22182 + 8.189406 = 32.41122 kJ
The heat energy required = 32.4 kJ.
The inlet temperature to the heat exchanger at B will be T1. And the output of the heat exchanger coming out at D is T2. The cooling water entering the heat exchanger heats up as it passes through the heat exchanger. q is the amount of heat transferred to the system used to represent the change in enthalpy. Enthalpy is the total potential energy of a system associated with heat transferred to and from the system.
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