a) A chemical reaction is govemed by the differential equation: dtdx=K(5x)2 where x(t) is the concentration of the chemical at time t. The initial concentration is zero, x(0)=0 and the concentration at time 5 seconds is found to be 2,x(5)=2. i. Determine the reaction rate K. (7 marks ii Hence, show that concentration of the chemical at time t is x(t)=2t+1510t. (3 marks) iii. Determine the concentration of the chemical at time 10s. (2 marks) iv. Determine how long would it take for the concentration of the chemical be 4