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A voltaic cell using Cu/ Cu2 +and Sn/Sn2 +half-cells is set up at standard conditions, and each compartment has a volume of345mL. The cell delivers 0.17A for48.0 h. (a) How many grams of Cu(s) are deposited? (b) What is the [ Cu2 +] remaining?

Short Answer

Expert verified
  1. The amount of Cu(s) are deposited as: 9.67 g Cu
  2. The remaining [ Cu2 +] are obtained as: [Cu2 +]=0.51 M

Step by step solution

01

Define chemical reaction

Chemical synthesis or, alternatively, chemical breakdown into two or more separate chemicals occurs when one component interacts with another to generate new material. These processes are known as chemical reactions, and they are generally irreversible until followed by other chemical reactions.

02

How many grams of Cu(s) are deposited?

a. Multiply the current by the given time to get the charge.

Charge =0.17 Cs×48 hr×60 min1 hr×60 sec1 min= 29,376 C

Divide the charge by Faraday's constant to get the moles of electrons reacting. Convert the electron moles to Cu reactive moles. In the reduction ofCu2 +, two electrons are involved.

29,376 C×1 mole-96,500 C×1 mol Cu2 mole-= 0.152 mol Cu

Multiply the moles of Cu by their molar mass to get mass.

0.152 mol Cu×63.55 g1 mol Cu= 9.67 g Cu

Therefore, the value is: 9.67 g Cu

03

Step 3: What is the [ Cu2 + ] remaining?

The moles of copper ion in the solution are:

0.345 L×1 mol1 L= 0.345 molCu2 +

Now, subtracting the moles of copper being deposited is:

0.345 mol Cu2 +- 0.152 mol Cu2 += 0.193 mol Cu2 +

Then, evaluating the new molarity of the solution as:

M =0.193 mol Cu2 +0.375 L= 0.51 M

Therefore, the value is: [Cu2 +]=0.51 M

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