JUNE $2024$

CEF$2601$

MAJOR ASSESSMENT $1$

QUESTION $1$

Eskom's Matla Power Station, located in Mpumalanga, South Africa, is a coal$-$fired power plant that generates electricity for the national grid. The power station has six units, each with a capacity of $605MW,$ making it one of the largest power stations in the country. The plant uses coal from the nearby Matla coal mine.

$1\mathrm{.}1$ Water enters the boiler at Eskom's Matla Power Station as a saturated liquid at $9\mathrm{.}87$atm. Determine the saturation temperature and the specific enthalpy of the water at this state using the steam tables.

$1\mathrm{.}2$ The water is heated to superheated steam at $500C$ at a constant pressure of $9\mathrm{.}87$atm, to drive the turbine and generate electricity for the national grid. Determine the specific enthalpy of the superheated steam at this state.

$1\mathrm{.}3$ Calculate the amount of heat added to the water per $kg$ to achieve this state change, which is essential for electricity generation. State assumptions clearly.

$1\mathrm{.}4$ If the power station operates at a capacity factor of $0\mathrm{.}8,$ calculate the annual electricity generation in $kWh.$

$[29$ MARKS$]$