High-purity silicon for semiconductor manufacturing is produced by reducing trichlorosilane gas with hydrogen at high temperatures.
The equation for the reaction is:
trichlorosilane+hydrogen→silicon+hydrogen chloride \text{trichlorosilane} + \text{hydrogen} \rightarrow \text{silicon} + \text{hydrogen chloride} trichlorosilane+hydrogen→silicon+hydrogen chlorideIn a solar-panel manufacturing plant, a batch reaction has a maximum theoretical yield of 14.2 tonnes14.2\text{ tonnes}14.2 tonnes of silicon. After the process is complete, the plant actually recovers 11.715 tonnes11.715\text{ tonnes}11.715 tonnes of silicon.
Calculate the percentage yield of silicon.
Use the equation:
percentage yield=mass of product actually mademaximum theoretical mass of product×100 \text{percentage yield} = \frac{\text{mass of product actually made}}{\text{maximum theoretical mass of product}} \times 100 percentage yield=maximum theoretical mass of productmass of product actually made×100