Clear glass is to be recovered from a stream of mixed glass materials using a binary separator. The mixed glass stream contains 65% clear glass and will have a feed rate of 100 kg/hour. One manufacturer A has a separator that is has an overall efficiency of 80% and a recovery of 85%, and manufacturer B has an overall efficiency of 80% and a recovery of 90%. What will be the purity of the product stream for each manufacturer?
To find the purity of the product stream for each manufacturer, we need to consider both the overall efficiency and the recovery rate.
1. For Manufacturer A:
- Overall efficiency: 80%
- Recovery rate: 85%
To calculate the purity, we start with the feed rate of the clear glass in the mixed glass stream:
Clear glass feed rate = Clear glass percentage x Feed rate
= 65% x 100 kg/hour
= 65 kg/hour
Next, we calculate the clear glass recovered by the separator:
Clear glass recovered = Clear glass feed rate x Recovery rate
= 65 kg/hour x 85%
= 55.25 kg/hour
Finally, we calculate the purity of the product stream:
Purity = Clear glass recovered / Feed rate
= 55.25 kg/hour / 100 kg/hour
= 0.5525 or 55.25%
Therefore, the purity of the product stream for Manufacturer A is 55.25%.
2. For Manufacturer B:
- Overall efficiency: 80%
- Recovery rate: 90%
Following the same steps as above, we find:
Clear glass feed rate = 65% x 100 kg/hour = 65 kg/hour
Clear glass recovered = 65 kg/hour x 90% = 58.5 kg/hour
Purity = 58.5 kg/hour / 100 kg/hour = 0.585 or 58.5%
Therefore, the purity of the product stream for Manufacturer B is 58.5%.