What is the energy density of water stored at a height of 200 m in Megajoules per kilogram?

To determine the energy density of water stored at a height of 200 m, we can use the gravitational potential energy formula, which is given by:

[ \text{Potential Energy} = mgh ]

where:

• ( m ) is mass (in kilograms),
• ( g ) is the acceleration due to gravity (approximately ( 9.81 , \text{m/s}^2 )),
• ( h ) is the height (in meters).

The energy density (energy per unit mass) can be calculated by dividing the potential energy by the mass ( m ). This simplifies our formula to:

[ \text{Energy Density} = gh ]

Substituting the values into this equation:

[ g \approx 9.81 , \text{m/s}^2 ] [ h = 200 , \text{m} ]

So,

[ \text{Energy Density} = 9.81 , \text{m/s}^2 \times 200 , \text{m} = 1962 , \text{J/kg} ]

To convert this value to megajoules per kilogram, we recognize that 1 Megajoule