The maximum flowrate through a control valve with an equal$$percentage characteristic is $10$ m$3/$h$.$ If the valve has a rangeability$$ratio of $50$:$1$ and is subjected to a constant differential pressure,$$calculate the percentage change in flowrate through the valve for$$valve lifts at $10\%$ intervals.Hence show that the valve is indeed equal percentage by finding the$$change in flowrate from one interval to the next.