In class we analyzed a power plant producing $100MW$ of electrical power by burning coal with $33,000k\frac{J}{k}g$ at $33\mathrm{.}3\%$ efficiency and found that burns $785$ metric tons per day of coal and emits $2590$ metric tons of $C{O}_2$ per day.

Suppose the plant were replaced with one that produces the same electrical power at the same efficiency but by burning natural gas that contains $50,000k\frac{J}{k}g$ and consists of $75\%$ carbon. How much $C{O}_2$ would the new plan emit per day?