$(N{O}_2^{-})$and then to nitrate in a process called nitrification. The biochemical reaction below describes the first step in nitrification where bacterial biomass $(C_5{H}_7{O}_2(N))$ is produced when ammonium $(N{H}_4^{+})$is converted to nitrite $(N{O}_2^{-})$:

$55N{H}_4^{+}+76O_2+5HC{O}_3^{-}{C}_5{H}_7{O}_{2}N+54N{O}_2^{-}+104H^{+}+57H_{2}O$

$1$

How many $kg$ of ammonium $(N{H}_4^{+})$are removed from a lake if $500kg$ of bacteria $(C_5{H}_7{O}_2(N))$ are produced?