Problem: Assume that the values given here for 1 mole of methanol are constant over the relevant temperature ranges.Melting Point176 KBoiling Point338 KHfus2.2 kJ/mol KHvap35.2 kJ/mol KCs,solid105 J/mol KCs,liquid81.3 J/mol KCs,gas48 J/mol KGiven the heating curve for 1 mole of methanol beginning at 170 K and ending at 350 K answer the following questions:What is the value of qsolid for methanol?

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FREE Expert Solution

Given the heating curve for 1 mole of methanol, we are asked to calculate qsolid for methanol.

Recall: In Heating curves, we have the representation of the amount of heat absorbed during phase changes. As the reaction progress, a phase change or temperature change can occur.

During a phase change,

  • Temperature is constant
  • Avg. Kinetic Energy is constant
  • Heat is transferred into potential energy

During a temperature change.

  • Heat energy is converted into Kinetic Energy
  • Increase in temperature causes increase in Kinetic Energy
  • Decrease in temperature causes decrease in Kinetic Energy


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Problem Details
Assume that the values given here for 1 mole of methanol are constant over the relevant temperature ranges.


Melting Point


176 K


Boiling Point


338 K


Hfus


2.2 kJ/mol K


Hvap


35.2 kJ/mol K


Cs,solid


105 J/mol K



Cs,liquid



81.3 J/mol K



Cs,gas


48 J/mol K


Given the heating curve for 1 mole of methanol beginning at 170 K and ending at 350 K answer the following questions:

A graph of heat added, in kilojoules per mole, versus temperature, in kelvins. The graph is composed of five line segments. The first represents heating the solid, it starts at (0,170), and ends at (.6,176). Segment two represents the solid melting, and starts at (.6,176), and ends at (2.8,176). Segment three represents the liquid being heated, it starts at (2.8, 176), and ends at (16, 338). Segment four represents the liquid being vaporized, it starts at (16,338), and ends at (51.2,338). Segment five represents the vapor heating, it starts at (51.2,338), and ends at (51.8,350).


What is the value of qsolid for methanol?

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