Bill removed the ten of spades and the king of hearts from a deck of standard playing cards and threw them in the trash. There w

Try this approach (refer to the attachment, which outlines three steps).

Answer:

4.0921 reflects the logarithm of the equilibrium constant.

Step-by-step explanation:

; ​E​° = - 0.41 V

; E° = 0.80 V

Iron has a negative reduction potential, indicating its tendency to lose electrons and undergo oxidation, and thus it will be at the anode.

=Reduction potential of cathode - Reduction potential of anode

; ​E​° = - 0.41 V

; E° = 0.80 V

Net reaction:

n = 2

To determine the equilibrium constant, we utilize the correlation with Gibbs free energy, as follows:

and,

Aligning these two equations yields:

where,

n = electrons transferred = 2

F = Faraday's constant = 96500 C

= standard electrode potential of the cell = 1.21 V

R = gas constant = 8.314 J/K.mol

T = reaction temperature =

Substituting values into the equation, we arrive at:

4.0921 represents the logarithm of the equilibrium constant.

To reach the solution of the equation correctly, the process is as follows: We have: ⇒ ⇒ ⇒ On equating the powers for the same base, it results in -6 = 8a, which implies an error in the premise of equating terms when their bases were not identical.

To calculate this, a specific formula will be necessary. Years = log (total/principal) / [n * log (1 + rate / n)]. Part A) For Calvin: $400 at 5% monthly results in $658.80; Time =? Monthly compounding, n = 12. Thus, Years = log(658.80/400) / [12 * log(1+ (.05/12))]. Subsequently, Years = log( 1.647) / (12 * log(1.0041666667)). Then, Years = 0.21669359917 / 12 * 0.0018058008777. Thus resulting in Years = 0.21669359917 / 0.0216696105. Ultimately, Years ≈ 9.999884362. Part B) For Makayla: $300 at 6% quarterly yields $613.04; Time=? Quarterly compounding, n = 4. Therefore, Years = log(613.04/300) / [4 * log (1 +.06/4)]. This results in Years = log(2.0434666667) / (4 * log(1.015)). Years thus equals 0.31036755784 / (4 * 0.0064660422492), resulting in Years ≈ 11.9999044949. The approximate difference is about 3 years.