I live on a steep hill, always seems colder than the rest of the city, and gets very icy when it snows. When it snows, we are trapped for a long time. In this problem you will help me decide if it is reasonable to try de$-$icing the iciest and steepest section of the hill.

Deicing agent: calcium magnesium acetate, CaMg$(C_2{H}_3{O}_2{)}_4$ I can't use a chloride compound like NaCl because I live near a salmon watershed, and if my deicing salt washed into the creek $($which it definitely would$)$ the chloride would damage the ecosystem.

Useful info about this hill and snow:

The area I want to be free of ice is $100$ square feet. And lets assume we get a really bad snowfall, $6$ inches! This will be a mass of $288kg$ of snow.

Snow $($water$)$ has a $K_F$ value of $1\mathrm{.}86\frac{C}{m}$

Water has a freezing point of $0C$

Assume in a snowstorm in Seattle I expect temperatures to get as low as $-10C$ and I need the de$-$icing agent to prevent freezing down to that temperature.

Use the information provided above to help me answer the question: what mass of calcium magnesium acetate do I need to lower the freezing point of $288kg$ of snow $($water$)$ to $-10C?$ Is it worth it to try to de$-$ice the road or should I just stay put and enjoy sledding on the hill and cancel classes for a week? Your answer should be formatted as a scientific argument $($a claim supported with evidence and explained with scientific reasoning$).$ Show all work for calculations.