Please do not use AI$,$ answer with worked answers, practice q$\text{'}$s;A hydropower plant with $900MW$ rated power has both upper and lower reservoirs. The water drains from the upper reservoir to

the lower one, for storage, and in that process generates power through the turbine$-$generator system.

The upper reservoir has a surface area of $500,000m^2$ and has maximum water level of $2250m$ and minimum water level of $2200m.$

The lower reservoir is at $1900m.$

Calculate $($neglecting all losses and head variation during water flow$)$:

The volume of water displaced from the upper reservoir to the lower reservoir $($assuming vertical reservoir walls$)$ is Blank $1x$

${10}^{\frac{?}{\text{b}\text{a}\text{r}}(6)}{m}^3$

The mass of displaced water $($density $=1000k\frac{g}{m^3})$ is Blank $2{10}^{9}kg$

Average head of the upper reservoir with respect to the lower reservoir Blank $3m$

Potential energy of the water $($use $g=9\mathrm{.}81\frac{m}{s^2})$ Blank $4{10}^{12}J$

Duration for which the plant can run autonomously at its rated power Blank $5$ hrs

Please enter your answers in a numerical format rounded to two decimal places.

Blank $1$

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