a) Determine the amount of energy transferred as heat requiredto melt 3 mol of i

Question

a) Determine the amount of energy transferred as heat requiredto melt 3 mol of ice at
0°C, heat the liquid water to 100°C, and then vaporize theliquid water at 100°C. All
processes occur at 1 bar pressure.

b) Now condense the steam, cool it to 0°C, and freeze theliquid water at 0°C to create 3
mol of ice all under 1 bar of pressure. What is the entropy andenthalpy change for the
entire process described in both parts a and b?
a) Determine the amount of energy transferred as heat requiredto melt 3 mol of ice at
0°C, heat the liquid water to 100°C, and then vaporize theliquid water at 100°C. All
processes occur at 1 bar pressure.

b) Now condense the steam, cool it to 0°C, and freeze theliquid water at 0°C to create 3
mol of ice all under 1 bar of pressure. What is the entropy andenthalpy change for the
entire process described in both parts a and b?

Explanation / Answer

We Know that : a )          Q1 = ms t              = 3mole x 18 gm / mole x 2.050 J / gm K x ( 373 -273 ) K                              = 11070 J          S = Q / T                  = 11070 J / 373 K                   = 29.678 J / K       Q2 = mass of the substance x heat of vapourization of the water              = 3 mole x 18 gm / mole x 2259.36 J               = 122005.44Joule         S = Q2 /   T                  = 122005.44joule / 373 K                   = 327.09 J / K         Total heat change =   Q1 + Q2                                        = 133075.44 Joule           Totalchange in Entropy = S1 + S2                                                 = 356.768 J/ K           Similarly , we can calculatethe second part of the question.

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