Question

Evaluate the molar difference between the free energy and the energy, $G_{\mathrm{m}}-E_{\mathrm{m}}$ for argon at 298 K , assuming it is an ideal gas.

    Evaluate the molar difference between the free energy and the energy, $G_{\mathrm{m}}-E_{\mathrm{m}}$ for argon at 298 K , assuming it is an ideal gas.
Physical Chemistry : Thermodynamics, Statistical Mechanics & Kinetics
Physical Chemistry : Thermodynamics, Statistical Mechanics & Kinetics
Andrew Cooksy 1st Edition
Chapter 9, Problem 25 ↓
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Evaluate the molar difference between the free energy and the energy, $G_{\mathrm{m}}-E_{\mathrm{m}}$ for argon at 298 K , assuming it is an ideal gas.
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Transcript

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00:01 In the given question, we have to calculate the value of delta gm for two processes.
00:06 So in our first processes, our carbon solid in the form of graphite gets converted into carbon solid.
00:15 So what is happening is the temperature remains constant, but the pressure from one bar has been increased to 325 bar.
00:28 While the temperature in both the case is 298 .15 kelvin and the carbon is in the form of graphite.
00:37 Okay.
00:39 So for this we have to first calculate delta gm.
00:42 So this is our first process.
00:44 So we know that delta gm for these processes is given by our molar volume into our p final minus p initiation.
00:59 Okay.
01:01 So as we know that our molar volume, okay, first we will need to find the molar volume.
01:07 So molar volume will be equals to molecular weight divided by density.
01:13 So molecular weight for carbon is 12.
01:15 Okay.
01:16 It's density is 2 to 5 .0 kilogram per meter cube.
01:21 Okay.
01:22 So we will multiply here by 10 to the power minus 3 to convert this molecular weight into kilogram...
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