Need some help, I was thinking the value of heat would be 9.9 kJ/mol or 9.9x10^3

Question

Need some help, I was thinking the value of heat would be 9.9 kJ/mol or 9.9x10^3 J/mol, but i was incorrect. Thanks for the help in advance, I rate swiftly :)

Find the values of heat for a heating curve for 1 mole of benzene beginning at 0C and ending at 100 C. Assume that the values given here are constant over the relevant temperature ranges.

Melting point 5.4 C

Boiling point 80.1 C

Hfus 9.9 kJ/mol

Hvap 30.7 kJ/mol

Cs,solid 118 J/molK

Cs,liquid 135 J/molK

Cs,gas 104 J/molK

Part B

Find the value of heat needed for melting solid benzene to liquid.

Express your answer to two significant figures and include the appropriate units

Explanation / Answer

Heat needed for melting solid benzene to liquid = Heat required to raise the solid from temperature 0 to 5.4 + Heat of fusion + Heat required to raise the temperature of liquid from 5.4C to 80.1C + Heat required to change from liquid to gas + Heat required to change the gas from 80.1C to 100C

=> 118 * (5.4-0)J + 9.9 kJ + 135 * (80.1-5.4)J + 30.7kJ + 104 * (100-80.1)

=> 637.2J + 9900J + 10084.5J + 30700J + 2069.6J

=> 53391.3J = 53.391kJ

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