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For the following conditions, calculate the (a) wt% hydrogen in coke, (b) coke yield, and (c) catalyst-to-oil ratio. Carbon on spent catalyst = 1.50 wt% Carbon on regenerated catalyst = 0.80 wt% Air from blower = 155,000 lb/hr Hydrocarbon feed to reactor = 295,000 lb/hr Initial catalyst charged = 350 tons

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Final answer:

To calculate the wt% hydrogen in coke, it would be zero since coke is essentially pure carbon. The coke yield is 46.67%. The catalyst-to-oil ratio is 0.827 lb/hr/ton.

Step-by-step explanation:

To calculate the wt% hydrogen in coke, we need to determine the amount of hydrogen present in the coke. From the balanced equation of the reaction, we can see that 1 mole of CO corresponds to 1 mole of H₂. Since coke is essentially pure carbon, the wt% hydrogen in coke would be zero.

The coke yield can be calculated using the formula: coke yield = (carbon on spent catalyst - carbon on regenerated catalyst) / carbon on spent catalyst. Using the given values, the coke yield would be

(1.50 - 0.80) / 1.50 = 0.4667 or 46.67%.

The catalyst-to-oil ratio can be calculated using the formula: catalyst-to-oil ratio = initial catalyst charged / hydrocarbon feed to reactor.

Plugging in the given values, the catalyst-to-oil ratio would be

350 tons / 295,000 lb/hr = 0.827 lb/hr/ton.

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