A rechargeable battery is constructed based on a concentration cell constructed of two Ag/Ag+ half-cells. The...

A rechargeable battery is constructed based on a concentration cell constructed of two Ag/Ag+ half-cells. The volume of each half-cell is 1.8 L and the concentrations of Ag+ in the half-cells are 1.35 M and 1.0×10⁻³ M .

a) For how long can this battery deliver 2.8 A of current before it goes dead?

b) What mass of silver is plated onto the cathode by running at 3.8 A for 5.7 h ?

c) Upon recharging, how long would it take to redissolve 110 g of silver at a charging current of 10.0 amps?

Solutions

Expert Solution

(a)
two half reactions of the cells are:

Cathode
Ag(+) + e(-) ----> Ag

Anode
Ag -----> Ag(+) + e(-)

The voltage becomes 0 after the concentrations become equal. The final concentrations

C = (C1 + C2)/2 = (1.35 + 1*10^-3)/2 = 0.6755 mole/L.

Moles of Ag(+) ions

=(1.35 - 0.6755)*1.8 = 1.2141 moles

Then:
Q = moles x coulamb/moles

= 1.2141*96500 = 117160.65 C
Time = 117160.65 C/(2.8 A) = 46864.24 s
40289 (s)/(60s*60min)=13 hr

(b). Mass of Silver = current x time x MW / coulamb x M

= 3.8A*20520s*(107.87g/molAg)/96500

= 87.16 g

(c). Time to redissolve

= (moles x coulamb/moles ) / current

= (110g/(107.87g/molAg)*96500) / (10)
= 9840.549/(60s*60min)

=2.73hr

queen_honey_blossom answered 1 year ago

Next > < Previous

Related Solutions

A rechargeable battery is constructed based on a concentration cell constructed of two Ag/Ag+ half-cells. The...

A rechargeable battery is constructed based on a concentration cell constructed of two Ag/Ag+ half-cells. The volume of each half-cell is 1.9 L and the concentrations of Ag+ in the half-cells are 1.20 M and 1.2×10−3M. Part A How long can this battery deliver 2.7 A current before it dies? Express your answer using two significant figures.

A rechargeable battery is constructed based on a concentration cell constructed of two Ag/Ag+ half-cells. The...

A rechargeable battery is constructed based on a concentration cell constructed of two Ag/Ag+ half-cells. The volume of each half-cell is 2.2 L and the concentrations of Ag+ in the half-cells are 1.25 M and 1.2×10−3 M . At which half-cell does the concentration of Ag+ decrease as the cell is run? What is the initial concentration of Ag+ at that half-cell? At which half-cell does the concentration of Ag+ decrease as the cell is run? What is the initial...

A rechargeable battery is constructed based on a concentration cell constructed of two Ag/Ag+half-cells. The volume...

A rechargeable battery is constructed based on a concentration cell constructed of two Ag/Ag+half-cells. The volume of each half-cell is 1.9 L and the concentrations of Ag+ in the half-cells are 1.15 M and 1.3×10−3 M . 1)What is the concentration of Ag+ at the cathode after the cell is run at 3.6 A for 5.7 h ? Express your answer using two significant figures. 2)What is the concentration of Ag+ at the cathode when the cell is "dead"? 3)For...

A voltaic cell is constructed from an Ni2+(aq)−Ni(s) half-cell and an Ag+(aq)−Ag(s) half-cell. The initial concentration...

A voltaic cell is constructed from an Ni2+(aq)−Ni(s) half-cell and an Ag+(aq)−Ag(s) half-cell. The initial concentration of Ni2+(aq) in the Ni2+−Ni half-cell is [Ni2+]= 1.80×10−2 M . The initial cell voltage is +1.12 V . Part A By using data in Table 20.1 in the textbook, calculate the standard emf of this voltaic cell. E∘ = V SubmitMy AnswersGive Up Part B Will the concentration of Ni2+(aq) increase or decrease as the cell operates? Will the concentration of increase or...

A voltaic cell is constructed from an Ni2+(aq)−Ni(s) half-cell and an Ag+(aq)−Ag(s) half-cell.The initial concentration of...

A voltaic cell consists of two Ag/Ag+half-cells, A and B. The electrolyte in A is 0.10...

A voltaic cell consists of two Ag/Ag+half-cells, A and B. The electrolyte in A is 0.10 M AgNO3. Theelectrolyte in B is 0.90 M AgNO3. Which half-cell houses the cathode? What is the voltage of the cell?

A concentration cell based on the following half reaction at 309 K Ag+ + e- →...

A concentration cell based on the following half reaction at 309 K Ag+ + e- → Ag SRP = 0.80 V has initial concentrations of 1.37 M Ag+, 0.269 M Ag+, and a potential of 0.04334 V at these conditions. After 9.3 hours, the new potential of the cell is found to be 0.01406 V. What is the concentration of Ag+ at the cathode at this new potential?

A concentration cell based on the following half reaction at 283 K Ag+ + e- →...

A concentration cell based on the following half reaction at 283 K Ag+ + e- → Ag SRP = 0.80 V has initial concentrations of 1.35 M Ag+, 0.407 M Ag+, and a potential of 0.02924 V at these conditions. After 3.4 hours, the new potential of the cell is found to be 0.01157 V. What is the concentration of Ag+ at the cathode at this new potential?

A concentration cell based on the following half reaction at 312 k ag+ + e- -------->...

A concentration cell based on the following half reaction at 312 k ag+ + e- --------> ag srp = 0.80 v has initial concentrations of 1.25 m ag+, 0.221 m ag+, and a potential of 0.04865 v at these conditions. after 8.3 hours, the new potential of the cell is found to be 0.01323 v. what is the concentration of ag+ at the cathode at this new potential? Please explain all the steps used to find the answer.

A. A standard galvanic cell is constructed with Cr3+|Cr and Ag+|Ag half cell compartments connected by...

A. A standard galvanic cell is constructed with Cr3+|Cr and Ag+|Ag half cell compartments connected by a salt bridge. Which of the following statements are correct? Hint: Refer to a table of standard reduction potentials. (Choose all that apply.) 1.As the cell runs, anions will migrate from the Cr3+|Cr compartment to the Ag+|Ag compartment. 2.The anode compartment is the Ag+|Ag compartment. 3.Ag is oxidized at the anode. 4.Cr is oxidized at the anode. 5.In the external circuit, electrons flow from...

Subjects