Chapter 17: Q17.74P (page 778)

The formation of methanol is important to the processing of new fuels. At $298 K, K_{P} = 2.25 \times 10^{4}$ for the reaction

localid="1662026070224" $C O (g) + 2 H_{2} (g) ⇌ C H_{3} O H (I)$
If $∆ H_{ran} = - 128 k J / m o l C H_{3} O H$ , calculate $K_{p}$ at $0^{°} C$ .

Short Answer

Expert verified

Answer

The value of $K_{P}$ is $2.55 \times 10^{6}$ .

Step by step solution

Definition of Concept

Reactions: A balanced chemical reaction equation shows the mole relationships of reactants and products, while a chemical reaction equation gives the reactants and products. The amount of energy involved in the reaction is frequently stated. Reaction stoichiometry is the study of the quantitative aspects of chemical reactions.

Calculate KP

Considering the given information:

Given isotopic equilibrium

$C O (g) + 2 H_{2} (g) ⇌ C H_{3} O H (l) ∆ H °_{r x m} = - 128 k J / m o l K_{P} = 2.25 \times 10^{4} a t T_{1} = 298 K K_{P} = ? a t T_{2} = 0 ° C$

We'll start by converting the temperature value from $° C$ to K:

$T = 0 ° C + 273.15 T = 273.15 K$

We will use Van't Hoff equation to calculate $K_{P}$ at $T_{2} = 0 ° C$ :

$I n \frac{K_{2}}{K_{1}} = - \frac{∆ H_{r x m}^{°}}{R} [\frac{1}{T_{2}} - \frac{1}{T_{1}}] I n \frac{K_{P}}{2.25 \times 10^{4}} = - \frac{- 128 \times 10^{3} J / m o l}{8.314 J / m o l \times K} [\frac{1}{273.15} - \frac{1}{298 K}] K_{P} = 2.55 \times 10^{6}$

Therefore, the required value is $2.55 \times 10^{6}$ .

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The formation of methanol is important to the processing of new fuels. At $298 K, K_{P} = 2.25 \times 10^{4}$ for the reaction

localid="1662026070224" $C O (g) + 2 H_{2} (g) ⇌ C H_{3} O H (I)$
If $∆ H_{ran} = - 128 k J / m o l C H_{3} O H$ , calculate $K_{p}$ at $0^{°} C$ .

Short Answer

Step by step solution

Definition of Concept

Calculate KP

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The formation of methanol is important to the processing of new fuels. At 298K,KP=2.25×104for the reactionlocalid="1662026070224" CO(g)+2H2(g)⇌CH3OH(I)If∆Hran=-128kJ/molCH3OH, calculate Kpat 0°C.

Short Answer

Step by step solution

Definition of Concept

Calculate KP

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Chemistry Textbooks

Nuclear Chemistry

Making Measurements

Chemical Reactions

Physical Chemistry

Chemical Analysis

The Earths Atmosphere

Study anywhere. Anytime. Across all devices.

The formation of methanol is important to the processing of new fuels. At $298 K, K_{P} = 2.25 \times 10^{4}$ for the reaction

localid="1662026070224" $C O (g) + 2 H_{2} (g) ⇌ C H_{3} O H (I)$
If $∆ H_{ran} = - 128 k J / m o l C H_{3} O H$ , calculate $K_{p}$ at $0^{°} C$ .