### kWh to Joule to specific weight to Mass to Height Water Energy Storage

via Fortune:
ARES’ solution is related to an already common kind of energy storage known as pumped-storage hydropower, which pumps water uphill, then captures the power of its downhill flow as needed. The obvious advantage of the ARES approach is that it’s more adaptable, without the need for lots of water. ARES has also said its solution costs about half as much as other storage technologies, and claims 80% efficiency in energy reclamation, similar to or slightly above typical hydro-storage efficiency.

Click the Sliders to calculate kWh to Height(once you click on it it will start)

kWh

Specific Weight of Storage System(9.81 for Water or about 25 for concrete):

Mass(kg) of the Storage System

Height of Storage needed:
The desired height of the storage is about

Joule

(kN/m3)*kg

Example and Methology from(*):
Water in lakes has ~300k cubic kilometers ~ 3 * 10^14 kg(300000000000000)

http://ga.water.usgs.gov/edu/earthw…

Potential energy is ~ 9.81(kn)*weight*height(P = w A x Where w = specific weight of water ( = 9.81 N), A = Area of the base and x = depth)
Storage requirements (USA): 336 billion kWh(336000000000) = 1.2 10^18 J(1 200 000 000 000 000 000) enery converter
height = 1.2 10^18 / (9.81 * 3*10^14) kg ~ 408m

We would need to pump water in all lakes about 408m high to have 7 day worth of reserves for USA.

Product Specific Weight
γ –
Imperial Units
(lb/ft3)
SI Units
(kN/m3)
Aluminum 172 27
Brass 540 84.5
Carbon tetrachloride 99.4 15.6
Copper 570 89
Ethyl Alcohol 49.3 7.74
Gasoline 42.5 6.67
Glycerin 78.6 12.4
Kerosene 50 7.9
Mercury 847 133.7
SAE 20 Motor Oil 57 8.95
Seawater 63.9 10.03
Stainless Steel 499 – 512 78 – 80
Water 62.4 9.81
Wrought Iron 474 – 499 74 – 78

Source here