They probably won't be using any 5% spodumene concentrate directly. They will buy 99.9% industrial grade hydroxide or carbonate, almost definitely from China.
But I did have a think about this as you suggested, and I found myself thinking along these lines...
A 21700 cell as used in modern Teslas has a specific energy of ~300Wh/kg
15GWh would return about 50 million cells at 300Wh/kg
The amount of lithium in a 21700 or similar cell is less than 2% by mass.
A typical 21700 cell has a mass of ~65 grams and probably less than 1.3 grams of lithium.
This gives us ~ 4,225 tonnes of 99.9% hydroxide/carbonate required per 15GWh
1 tonne of 5% spodumene concentrate contains ~50kg LCE
The 4,225,000 kg of cathode material therefore, would require about 84,000 tonnes of 5% concentrates.
Looked at another way, 1mt of ore at 1.5% grade would return ~15,000 tonnes of battery grade lithium.
1 tonne of battery grade lithium probably requires about 20 tonnes of 5% concentrate.
So the 4,225 tonnes of battery grade lithium would also require about 84,000 tonnes of 5% concentrates.
Of course these numbers don't take into account losses or inefficiencies of production and I suspect that 300Wh/Kg is being generous.
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