Here is your feasibility for using batteries in just cars:
http://large.stanford.edu/courses/2010/ph240/eason2/
There's a lot of lithium, but it's unlikely there is enough Lithium in the world to provide everyone with large home batteries.
There's a lot of lithium, but it's unlikely there is enough Lithium in the world to provide everyone with large home batteries.
But at that scale you don't have to use lithium anyway. When it comes to grid or off-grid storage, you don't need the best energy density as cost per watt-hour is probably the most important factor and there are already other chemistries on the market that will work just fine with many more on the way. Sodium or Aluminium based batteries seem particularly promising.