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A diffuser in a pipe flow is basically a slow expansion of the pipe diameter, which slows down the fluid speed and increases the pressure $($the Bernoulli effect$).$ Water at room temperature flows with a volume flow rate of $0\mathrm{.}0250\frac{m^3}{s}$ through a horizontal diffuser in which the pipe diameter increases gradually from $D_1=6\mathrm{.}00cm$ to $D_2=11\mathrm{.}00cm.$ The irreversible head loss through the diffuser is estimated to be $0\mathrm{.}440$ m $.$ The flow is turbulent, and the kinetic energy correction factors at both the inlet and the outlet of the diffuser are assumed to be $1\mathrm{.}05.$

Repeat using the Bernoulli equation $($ignore irreversible head losses and ignore kinetic energy correction factors $-$ in other words, the kinetic energy correction factors to $1).$ Calculate the percentage error in the result due to the Bernoulli approximation. $($Round th final answer to two decimal places.$)$

The percentage error in the result due to the Bernoulli approximation is calculated to be $\%.$