Problem: Li-ion batteries used in automobiles typically use a LiMn2O4 cathode in place of the LiCoO2 cathode found in most Li-ion batteries.In a battery that uses a LiCoO2 cathode approximately 50% of the lithium migrates from the cathode to the anode on charging. In a battery that uses a LiMn2O4 cathode what fraction of the lithium in LiMn2O4 would need to migrate out of the cathode to deliver the same amount of lithium to the graphite anode?

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FREE Expert Solution

In this problem, we are asked to find the fraction of the lithium in LiMn2O4 that would need to migrate out of the cathode to deliver the same amount of lithium to the graphite anode.

Recall that a battery is a portable, self-contained electrochemical power source that consists of one or more voltaic cells.

  • Li-ion batteries are based on the ability of Li+ ions to be inserted into and removed from certain layered solids.
    • The anode is made of graphite, which contains layers of carbon atoms.
    • The cathode is made of a transition metal oxide that also has a layered structure, typically lithium cobalt oxide (LiCoO2).
    • The two electrodes are separated by an electrolyte, which functions as a salt bridge by allowing Li+ ions to pass through it.

To solve this problem:

Step 1. Find the percent of Lithium in each cathode.
Step 2. Compare the percent of lithium content of the two cathodes.
Step 3. Determine the fraction or percent needed.

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Problem Details

Li-ion batteries used in automobiles typically use a LiMn2O4 cathode in place of the LiCoO2 cathode found in most Li-ion batteries.

In a battery that uses a LiCoO2 cathode approximately 50% of the lithium migrates from the cathode to the anode on charging. In a battery that uses a LiMn2O4 cathode what fraction of the lithium in LiMn2O4 would need to migrate out of the cathode to deliver the same amount of lithium to the graphite anode?