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A surface grinding operation has been performed on a Cast Iron plate having dimensions $\text{300 mm} (\textit{length}) \times \text{10 mm} (\textit{width})\times\text{50 mm}({height}$). The grinding was performed using an alumina wheel having a wheel diameter of $\text{150 mm}$ and wheel width of $\text{12 mm}$. The grinding velocity used is $\text{40 m/s}$, table speed is $\text{5 m/min}$, depth of cut per pass is $50\; \mu m$ and the number of grinding passes is $20$. The average tangential and average normal force for each pass is found to be $\text{40 N}$ and $\text{60 N}$ respectively. The value of the specific grinding energy under the aforesaid grinding conditions is ______ $\text{J/mm}^{3} (\textit{round off to one decimal place}$).
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