High-purity silicon for semiconductor fabrication is produced industrially by the reduction of trichlorosilane, SiHCl3\text{SiHCl}_3SiHCl3, with hydrogen gas at extreme temperatures.
In a trial run, 85.50 tonnes85.50\text{ tonnes}85.50 tonnes of trichlorosilane was reacted in a fluidized bed reactor. The purified silicon was collected and weighed. The data from this industrial trial is recorded in Table 1.
Table 1
| Mass in tonnes | |
|---|---|
| Mass of trichlorosilane | 85.50 |
| Mass of silicon produced | 13.95 |
| Theoretical mass of silicon formed | 18.24 |
Use the data in Table 1 to calculate the percentage yield of high-purity silicon obtained in this trial.
percentage yield=actual yieldtheoretical yield×100 \text{percentage yield} = \frac{\text{actual yield}}{\text{theoretical yield}} \times 100 percentage yield=theoretical yieldactual yield×100Give your answer to 1 decimal place.
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