Complete the very short assignment attached, show all steps involved and your work.

The assignment is very simple, with many of the problems dealing with basic dimensional analysis/quantitative conversions.?

Energy and Climate Quantitative Assignment ? Complete all the problems and show all your work and all
steps involved.

1. A 500 MW generating coal fired power plant can produce 2,460 kWh of electricity from 1 metric ton of
coal.
a. If the plant is running at full capacity for one week, what is the electricity output in kWh?
b. How much coal (in tons) is required to produce this electricity?
c. If one metric ton of 235U produces 8.76 x109 kWh, how much 235U (in tons) is needed to produce
the same energy as the coal fired power plant for one week?
2. The standard power curve (power output from a wind turbine as a function of wind speed) of the GE
2.5 MW wind turbine is show below.

a. If the annual average capacity factor of a given wind turbine is 30%, what is the annual average
power output (in MW) for the wind turbine?
b. What is the corresponding wind speed (m/s) for the average wind power output?
c. What is the kinetic energy flux (in MW) passing through the area covered by the rotating wind
blades at the wind speed in part b? The kinetic energy flux (Pw) is given by the equation below,
where v represents the wind speed, ? is the density of the air (1.225 kg/m3) and A is the area