# Problem: Assume that the values given here for 1 mole of benzene are constant over the relevant temperature ranges.Melting point5.4 oCBoiling point80.1 oCΔHfus9.9 kJ/molΔHvap30.7 kJ/molCs,solid118 J/mol • KCs,liquid135 J/mol • KCs,gas104 J/mol • KDraw a heating curve for 1 mol of benzene beginning at 0 °C and ending at 100 °C, and use it to answer the questions.What is the qsolid value for 1 mole of benzene?

###### FREE Expert Solution

There are four heats involved in this problem:

1. q1 which is the heat in raising the temperature of 1 mole of benzene from 0 ˚C to 5.4 ˚C

2. q2 which is the heat in melting 1 mole of benzene at 5.4 ˚C

3. q3 which is the heat in raising the temperature of 1 mole of benzene from 5.4 ˚C to 80.1 ˚C

2. q4 which is the heat in evaporating 1 mole of benzene at 80.1 ˚C

3. q5 which is the heat in raising the temperature of 1 mole of benzene from 80.1 ˚C to 100.0 ˚C

We need to solve for qsolid, benzene is solid from 0 ˚C to 5.4 ˚C, thus qsolid = q1.

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###### Problem Details
Assume that the values given here for 1 mole of benzene are constant over the relevant temperature ranges.
 Melting point 5.4 oC Boiling point 80.1 oC ΔHfus 9.9 kJ/mol ΔHvap 30.7 kJ/mol Cs,solid 118 J/mol • K Cs,liquid 135 J/mol • K Cs,gas 104 J/mol • K

Draw a heating curve for 1 mol of benzene beginning at 0 °C and ending at 100 °C, and use it to answer the questions.

What is the qsolid value for 1 mole of benzene?