Acrylonitrile $(C_3{H}_3(N))$ is the starting material for many synthetic carpets and fabrics. It is produced by the following reaction.

$2C_3{H}_6(g)+2N{H}_3(g)+3O_2(g)2C_3{H}_{3}N(g)+6H_{2}O(g)$

If $20\mathrm{.}0g{C}_3{H}_6,15\mathrm{.}0g{O}_2,$ and $10\mathrm{.}0gN{H}_3$ are reacted, what mass of acrylonitrile can be produced, assuming $100\%$ yield?

Mass $=,g$