Chapter 1: Q22P (page 22)

At $10 ° C, K_{e q}$ for a reaction is 100 . At $30 ° C, K_{e q} = 10$ Does enthalpy increase or decrease during the reaction?

Short Answer

Expert verified

The enthalpy decreases during the reaction.

Step by step solution

Given data

Converting the temperature in Celsius to Kelvin,

$T_{1} {= 10}^{0} C = 273.15 + 10 T_{1} = 283.15K$

Similarly,

$T_{2} {= 30}^{0} C = 273.15 + 30 T_{2} = 303.15K$

Using the Van’t Hoff’s equation

$ln \frac{K_{2}}{K_{1}} = - \frac{∆ H^{0}}{R} (\frac{1}{T_{2}} - \frac{1}{T_{1}})$

Where,

$K_{2} =$ Equilibrium constant at $30 ° C$ .

$K_{1} =$ Equilibrium constant at $10 ° C$ .

$R =$ Gas constant ${= 8.3145JK}^{- 1} {mol}^{- 1}$

$T_{2} = 303.15K T_{1} = 283.15K$

Calculating the enthalpy for the reaction

$ln (\frac{10}{100}) =- \frac{∆ H^{0}}{8.314} (\frac{1}{303.15} - \frac{1}{283.15}) - 2.3026 = - \frac{∆ H^{0}}{8.314} (\frac{1}{303.15} - \frac{1}{283.15}) - ∆ H^{0} = \frac{- 2.3026×8.3145}{- 0.00023} ∆ H = - 83.23899kJ$

Therefore, the value of enthalpy is $∆ H = - 83.23899kJ$

Hence, the value of enthalpy is negative which indicates that the enthalpy decreases during the reaction.

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At $10 ° C, K_{e q}$ for a reaction is 100 . At $30 ° C, K_{e q} = 10$ Does enthalpy increase or decrease during the reaction?

Short Answer

Step by step solution

Given data

Using the Van’t Hoff’s equation

Calculating the enthalpy for the reaction

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At 10°C,Keqfor a reaction is 100 . At 30°C,Keq=10Does enthalpy increase or decrease during the reaction?

Short Answer

Step by step solution

Given data

Using the Van’t Hoff’s equation

Calculating the enthalpy for the reaction

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Biology Textbooks

Heredity

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Study anywhere. Anytime. Across all devices.

At $10 ° C, K_{e q}$ for a reaction is 100 . At $30 ° C, K_{e q} = 10$ Does enthalpy increase or decrease during the reaction?