The density of the fat tristearin is 0.95 g cm-3. Calculate the change in molar Gibbs energy of tristearin when a deep-sea creature is brought to the surface (p = 1.0 atm) from a depth of 2.0 km. To calculate the hydrostatic pressure, take the mean density of water to be 1.03 g cm-3.

Question

Chemistry

Jenny Weber

14 June, 18:42

The density of the fat tristearin is 0.95 g cm-3. Calculate the change in molar Gibbs energy of tristearin when a deep-sea creature is brought to the surface (p = 1.0 atm) from a depth of 2.0 km. To calculate the hydrostatic pressure, take the mean density of water to be 1.03 g cm-3.

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Cornelius Mcconnell · Answer 1

The formula for the change in Gibbs energy of a solid is:

ΔG = Vm ΔP

where, ΔG is change in Gibbs, Vm is molar volume, ΔP is change in pressure

ΔP = P (final) - P (initial)

P (final) = 1 atm = 101325 Pa

P (initial) = ρ_water * g * h = (1030 kg/m^3) * 9.8 m/s^2 * 2000 m = 20188000 kg m/s^2 = 20188000 Pa

Vm = (950 kg/m^3) * (1000 mol / 891.48 kg) = 1065.64 mol/m^3

So,

ΔG = (1065.64 mol/m^3) * (101325 Pa - 20188000 Pa)

ΔG = - 21405164347 J = - 21.4 GJ