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Chapter 5: 5.3 (page 155)

Use the data at the back of this book to verify the values of 鈭�Hand 鈭�G quoted above for the lead-acid reaction 5.13.

Short Answer

Expert verified

The value of Gibbs free energy = -315.72 kJ.

Step by step solution

01

Given Information

T= 298 K and P=1 bar.

The information from the table

02

Explanation

Gibbs energy is given by

G= H-TS

where G= Gibbs energy, H= Enthalpy, T =temp and S =entropy.

Assume there is infinitesimal change in Gibbs energy , then

鈭�G=鈭�H-T鈭�S.............(1)

Now write equation for change in enthalpy for the given reaction

螖H=2螖HPbSO4+2螖HH2O-螖HPb-螖HPbO2+4螖HH+-2螖HSO42-

Now substitute the values from the given table, we get

螖H=2(-920.0kJ)+2(-285.83kJ)-0-(-277.4kJ)-4(0)-2(-909.27kJ)=-315.72kJ

Similarly write equation for change in Gibbs energy for the given reaction

螖G=(2螖GPbSO4+2螖GH2O-螖GPb-螖GPbO2+4螖GH+-2螖GSO42-)

Put the values from the table, we get

鈭�G=2(-813.0kJ)+2(-237.13kJ)-0-(-217.33kJ)-4(0)-2(-744.53kJ)

= -315.72 kJ.

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Most popular questions from this chapter

Below 0.3 K the slope of the 掳He solid-liquid phase boundary is negative (see Figure 5.13).

(a) Which phase, solid or liquid, is more dense? Which phase has more entropy (per mole)? Explain your reasoning carefully.

(b) Use the third law of thermodynamics to argue that the slope of the phase boundary must go to zero at T = 0. (Note that the *He solid-liquid phase boundary is essentially horizontal below 1 K.)

(c) Suppose that you compress liquid *He adiabatically until it becomes a solid. If the temperature just before the phase change is 0.1 K, will the temperature after the phase change be higher or lower? Explain your reasoning carefully.

Let the system be one mole of argon gas at room temperature and atmospheric pressure. Compute the total energy (kinetic only, neglecting atomic rest energies), entropy, enthalpy, Helmholtz free energy, and Gibbs free energy. Express all answers in SI units.

In a hydrogen fuel cell, the steps of the chemical reaction are

at-electrode:H2+2OH-鉄�2H2O+2e-at+electrode:12O2+H2O+2e-鉄�2OH-

Calculate the voltage of the cell. What is the minimum voltage required for electrolysis of water? Explain briefly.

Show that equation 5.40 is in agreement with the explicit formula for the chemical potential of a monatomic ideal gas derived in Section 3.5. Show how to calculate 渭掳for a monatomic ideal gas.

Plot the Van der Waals isotherm for T/Tc = 0.95, working in terms of reduced variables. Perform the Maxwell construction (either graphically or numerically) to obtain the vapor pressure. Then plot the Gibbs free energy (in units of NkTc) as a function of pressure for this same temperature and check that this graph predicts the same value for the vapor pressure.
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