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In: Chemistry

At SATP, Ethanol (C2H6O) is a liquid that has a density of 0.789 g/cm3 and a...

At SATP, Ethanol (C₂H₆O) is a liquid that has a density of 0.789 g/cm³ and a Gibbs energy of formation G_f =-174.78 kJ.mol^-1 Use this information to calculate the chemical potential of ethanol at 298 K and 10.0 bar pressure assuming that the liquid volume is pressure-independent.

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Expert Solution

Ethanol dencity = 0.789 g/cm3

Ethanol molecular weight = 46

d = m/v, v = m/d , v = 46/0.789

v = 58.30 mL

T= 298 K, P= 10 bar, 1 bar = 0.986 atm

10 bar = 9.86 atm

PV = nRT

n = PV / RT , R = 0.0821 L atm K^-1 mol^-1

n = 9.86 x 58.30 / 0.0821 x 298

n = 574.838 / 24.465

n = 23.496 moles

Gibbs energy of formation Gf =-174.78 kJ.mol-1

G = -nFE F = 96500 Coulombs (Faraday constant)

-174.78 = -23.496 x 96500 x E

-174.78 = -2267364 x E

E = 0.00007708 Volts

E = 7.708 x 10^-5 Volts.

queen_honey_blossom answered 3 hours ago

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