There are two steps in the usual industrial preparation of acrylic acid, the immediate precursor of several useful plastics. CaC, (s) +2 H,0 (1) C,H, (g) +Ca(OH), (s) K1 6C,H, (g) + 3 CO, (g) +4 H,O (1) =5 CH,CHCO,H (g) K2 The net reaction is: 6 CaC, (s) + 16 H,O (I) +3 CO, (g) = 6 Cа(ОН), (s) K +5 CH,CHCO,H (g) Write an equation that gives the overall equilibrium constant K in terms of the equilibrium constants K, and K,. If you need to include any physical constants, be sure you use their standard symbols, which you'll find in the ALEKS Calculator.

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### Industrial Preparation of Acrylic Acid

Acrylic acid, an important precursor for several kinds of useful plastics, is typically produced industrially through a series of reactions. Below is a detailed explanation of the two key steps involved in this preparation.

#### Step 1
\[
\text{CaC}_2 (\text{s}) + 2\text{H}_2\text{O} (\ell) \rightleftharpoons \text{C}_2\text{H}_2 (\text{g}) + \text{Ca}(\text{OH})_2 (\text{s}) \quad K_1
\]

In the first step, calcium carbide (\(\text{CaC}_2\)) reacts with water (\(\text{H}_2\text{O}\)) to form acetylene (\(\text{C}_2\text{H}_2\)) and calcium hydroxide (\(\text{Ca}(\text{OH})_2\)). This reaction has an equilibrium constant \(K_1\).

#### Step 2
\[
6 \text{C}_2\text{H}_2 (\text{g}) + 3 \text{CO}_2 (\text{g}) + 4 \text{H}_2\text{O} (\ell) \rightleftharpoons 5 \text{CH}_2\text{CHCO}_2\text{H} (\text{g}) \quad K_2
\]

In the second step, acetylene (\(\text{C}_2\text{H}_2\)) reacts with carbon dioxide (\(\text{CO}_2\)) and water (\(\text{H}_2\text{O}\)) to produce acrylic acid (\(\text{CH}_2\text{CHCO}_2\text{H}\)). This step is associated with an equilibrium constant \(K_2\).

#### Net Reaction
Combining the two steps, the net reaction is:
\[
6 \text{CaC}_2 (\text{s}) + 16 \text{H}_2\text{O} (\ell) + 3 \text{CO}_2 (\text{g}) \rightleftharpoons 6 \text{Ca}(\text{OH})_2 (\text{s}) + 5 \text{CH}_2\text{CHCO}_2\text{H
Transcribed Image Text:### Industrial Preparation of Acrylic Acid Acrylic acid, an important precursor for several kinds of useful plastics, is typically produced industrially through a series of reactions. Below is a detailed explanation of the two key steps involved in this preparation. #### Step 1 \[ \text{CaC}_2 (\text{s}) + 2\text{H}_2\text{O} (\ell) \rightleftharpoons \text{C}_2\text{H}_2 (\text{g}) + \text{Ca}(\text{OH})_2 (\text{s}) \quad K_1 \] In the first step, calcium carbide (\(\text{CaC}_2\)) reacts with water (\(\text{H}_2\text{O}\)) to form acetylene (\(\text{C}_2\text{H}_2\)) and calcium hydroxide (\(\text{Ca}(\text{OH})_2\)). This reaction has an equilibrium constant \(K_1\). #### Step 2 \[ 6 \text{C}_2\text{H}_2 (\text{g}) + 3 \text{CO}_2 (\text{g}) + 4 \text{H}_2\text{O} (\ell) \rightleftharpoons 5 \text{CH}_2\text{CHCO}_2\text{H} (\text{g}) \quad K_2 \] In the second step, acetylene (\(\text{C}_2\text{H}_2\)) reacts with carbon dioxide (\(\text{CO}_2\)) and water (\(\text{H}_2\text{O}\)) to produce acrylic acid (\(\text{CH}_2\text{CHCO}_2\text{H}\)). This step is associated with an equilibrium constant \(K_2\). #### Net Reaction Combining the two steps, the net reaction is: \[ 6 \text{CaC}_2 (\text{s}) + 16 \text{H}_2\text{O} (\ell) + 3 \text{CO}_2 (\text{g}) \rightleftharpoons 6 \text{Ca}(\text{OH})_2 (\text{s}) + 5 \text{CH}_2\text{CHCO}_2\text{H
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