VIPSolutionsGive step-by-step solution with explanation and final answer:The veal slctiy parameter in conples prsel ection ntwer i ef = ert rm mt oS Commie psy eo. _f_kOp Rie] Col he sty 3 held pres brn = 100 ie i ei rote meen rg 28. FF O—— tomate oe at eh to he mr Bare. Yoon Cot Spc Tn 1 Bie = 500 nde oe es = 100m ett srr ecie drench be gon tre ctn 4d LC. reagis icra ht denn 5 cin soy ech he a \_m2_oms =a 08 Co healt i er cons = 0.808 mi ET —— Ts rps gon er J —— 72h cede SY. becomes oh. ri Be ai ooh Ld [oan daresay
Question:
Give step-by-step solution with explanation and final answer:
The veal slctiy parameter in conples prsel ection ntwer i ef = ert
rm mt oS
Commie psy eo.
_f_kOp
Rie]
Col he sty 3 held pres brn = 100 ie i
ei rote meen rg 28.
FF O——
tomate oe at eh to he mr Bare.
Yoon
Cot Spc Tn 1 Bie = 500 nde oe es = 100m
ett srr ecie drench be gon
tre ctn 4d LC. reagis icra ht denn 5
cin soy ech he a
\_m2_oms
=a 08
Co healt i er cons = 0.808 mi
ET ——
Ts rps gon er
J ——
72h cede SY. becomes oh. ri Be ai ooh Ld
[oan daresay
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Asked by: Francis
Created at: 2026-01-19 09:12:57
Asked by: Francis
Created at: 2026-01-19 09:12:57
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Let's solve each part step by step as per the instructions and given data.
---
## 1. **Selectivity Calculation**
**Given:**
- Rate of desired product formation, \( r_D = 100 \)
- Rate of undesired product formation, \( r_U = 20 \)
Selectivity (\( S \)):
\[
S_{D/U} = \frac{r_D}{r_U}
\]
**Calculation:**
\[
S_{D/U} = \frac{100}{20} = 5
\]
**Final Answer:**
- **Selectivity \( S_{D/U} = 5 \)**
---
## 2. **Space-Time (τ) Calculation**
**Given:**
- Volume, \( V = 500 \) L
- Flow rate, \( v_ = 100 \) L/min
Space-time (\( \tau \)):
\[
\tau = \frac{V}{v_}
\]
**Calculation:**
\[
\tau = \frac{500 \text{ L}}{100 \text{ L/min}} = 5 \text{ min}
\]
**Final Answer:**
- **Space-Time \( \tau = 5 \) min**
---
## 3. **Half-Life (\( t_{1/2} \)) Calculation**
**Given:**
- Rate constant, \( k = .693 \) min\(^{-1}\)
Half-life for first-order reaction:
\[
t_{1/2} = \frac{.693}{k}
\]
**Calculation:**
\[
t_{1/2} = \frac{.693}{.693 \text{ min}^{-1}} = 1 \text{ min}
\]
**Final Answer:**
- **Half-life \( t_{1/2} = 1 \) min**
---
## 4. **Space Velocity (SV) Calculation**
**Space Velocity (SV)** is the inverse of the space time (\( 1/\tau \)).
From above, \( \tau = 5 \) min.
\[
SV = \frac{1}{\tau} = \frac{1}{5 \text{ min}} = .2 \text{ min}^{-1}
\]
**Final Answer:**
- **Space Velocity \( SV = .2 \) min\(^{-1}\)**
---
# **Summary Table**
| Quantity | Formula | Value |
|--------------------|---------------------------|-----------------|
| Selectivity | \( \frac{r_D}{r_U} \) | 5 |
| Space-Time (\( \tau \)) | \( \frac{V}{v_} \) | 5 min |
| Half-life (\( t_{1/2} \)) | \( \frac{.693}{k} \) | 1 min |
| Space Velocity (SV)| \( \frac{1}{\tau} \) | .2 min\(^{-1}\)|
---
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