You are responsible for the preparation of substrate for the production of the amino acid threonine
(C4H9O3N) using Escherichia coli. The annual production is 10000 tons. Calculate the annual consumption
of NH3 (25% w/v), FeCl3 7H2O and MgSO4 7H2O. Yp/x = 0.47. Use the table below. (Note that the
ammonia used is a gas dissolved in water!)

To calculate the annual consumption of \( \text{NH}_3 \) (25% w/v), \( \text{FeCl}_3 \cdot 7\text{H}_2\text{O} \), and \( \text{MgSO}_4 \cdot 7\text{H}_2\text{O} \) for producing 10,000 tons of threonine (\( \text{C}_4\text{H}_9\text{O}_3\text{N} \)) using *Escherichia coli*, we can break the problem down into these main parts:

### Step 1: Determine the Stoichiometric Requirements
1. **Calculate the amount of threonine produced per gram of substrate** based on the yield coefficient (\( Y_{p/x} = 0.47 \)), which means that for every gram of substrate consumed by *E. coli*, 0.47 grams of threonine is produced.

2. **Calculate substrate required**:
   \[
   \text{Substrate required} = \frac{\text{Production target}}{Y_{p/x}}
   \]
   where the production target is 10,000 tons of threonine (10,000,000 kg).

3. **Calculate the consumption of each component** using stoichiometric ratios and concentration values given for the ammonia and hydrate compounds.

### Step 2: Given Data
1. **Production Target**: \( 10,000,000 \, \text{kg (10,000 tons) of threonine} \)
2. **Yield Coefficient**: \( Y_{p/x} = 0.47 \)
3. **Ammonia Solution**: \( 25\% \, \text{w/v NH}_3 \)
4. Hydrate Compounds: \( \text{FeCl}_3 \cdot 7\text{H}_2\text{O} \) and \( \text{MgSO}_4 \cdot 7\text{H}_2\text{O} \) (the amounts of these will depend on molar relationships and possibly empirical data).

### Step 3: Calculation

#### 1. Substrate Required
\[
\text{Substrate} = \frac{10,000,000 \, \text{kg}}{0.47} = 21,276,596 \, \text{kg}
\]

#### 2. Ammonia (\( \text{NH}_3 \)) Consumption
Since ammonia is supplied as a **25% solution** (w/v), we need to account for this concentration when calculating the pure \( \text{NH}_3 \) mass required.

Assuming the nitrogen source is completely derived from ammonia, we can set up molar balance calculations based on nitrogen content in threonine.

#### 3. Iron(III) Chloride and Magnesium Sulfate Consumption
The annual consumption of \( \text{FeCl}_3 \cdot 7\text{H}_2\text{O} \) and \( \text{MgSO}_4 \cdot 7\text{H}_2\text{O} \) would typically be derived from standard bioprocess stoichiometric data or experimental values specific to the organism's metabolic requirements.

---

For accurate completion, we need:
- Molar ratios based on nitrogen, iron, and magnesium requirements.
- Additional empirical stoichiometric or bioprocess data specific to *E. coli* requirements in threonine production.

Would you like further details on any part, or help refining the calculations with more specific stoichiometric data? 

---

**Additional Questions:**
1. How does the concentration of each compound affect overall substrate consumption?
2. What role does the 25% \( \text{NH}_3 \) concentration play in adjusting feed rates?
3. Can varying \( Y_{p/x} \) values alter the substrate requirements significantly?
4. How does molar mass influence the calculation of hydrate compounds in bioprocesses?
5. Are there alternative nitrogen sources that may optimize the production process?

**Tip:** Always confirm empirical yield values to ensure precise substrate and reagent calculations in biochemical production.

You are responsible for the preparation of substrate for the production of the amino acid threonine (C4H9O3N) using Escherichia coli. The annual production is 10000 tons. Calculate the annual consumption of NH3 (25% w/v), FeCl3 7H2O and MgSO4 7H2O. Yp/x = 0.47. Use the table below. (Note that the ammonia used is a gas dissolved in water!)

Learn how to calculate the annual consumption of NH3 (25% w/v), FeCl3 7H2O, and MgSO4 7H2O for producing 10,000 tons of threonine using Escherichia coli. This solution includes stoichiometry, yield coefficient calculation, and mass balance techniques in bioprocessing. Suitable for advanced chemistry and bioprocess studies at the high school level.

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