/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 9 $$\mathrm{H}_{2}(g)+\mathrm{I}_{... [FREE SOLUTION] | 91Ó°ÊÓ

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$$\mathrm{H}_{2}(g)+\mathrm{I}_{2}(g) \rightarrow 2 \mathrm{HI}(g)$$ When the reaction given above takes place in a sealed isothermal container, the rate law is $$\text { Rate }=k\left[\mathrm{H}_{2}\right]\left[\mathrm{I}_{2}\right]$$ If a mole of \(\mathrm{H}_{2}\) gas is added to the reaction chamber and the temperature remains constant, which of the following will be true? (A) The rate of reaction and the rate constant will increase. (B) The rate of reaction and the rate constant will not change. (C) The rate of reaction will increase and the rate constant will decrease. (D) The rate of reaction will increase and the rate constant will not change.

Short Answer

Expert verified
The correct answer is (D). The rate of reaction will increase due to the addition of a mole of H2, and the rate constant will not change.

Step by step solution

01

Understand the rate law equation

The rate law equation for the reaction: \(\mathrm{H}_{2}(g)+\mathrm{I}_{2}(g) \rightarrow 2 \mathrm{HI}(g)\) is given as Rate = k [H2] [I2]. This represents the rate of the chemical reaction as being proportional to the product of the concentration of Hydrogen gas [H2] and Iodine gas [I2]. The rate constant (k) is a proportionality constant that depends on factors like the temperature and catalysts, but not the concentration of reactants. So, when the concentration of a reactant is increased, the rate of the reaction increases, but the rate constant remains unchanged.
02

Interpret the effect of adding a mole of H2

In our case, a mole of H2 gas is added to the reaction chamber so the concentration of H2 is increased. Because H2 is a reactant in this equation and appears in the rate law as such, increasing the concentration of H2 will increase the rate of the reaction. But the rate constant (k) will remain the same because it does not depend on the concentration of reactants.
03

Identify the validity of the options

Now based on the analysis given, it can deducted that when a mole of H2 gas is added to the reactant chamber, the rate of reaction will increase but the rate constant will not change. So option (D) is the correct answer. The rate constant k is a property of the reaction at a given temperature and is not affected by changes in concentrations of reactants or products.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Rate Law
The rate law is essential for understanding how the speed of a chemical reaction depends on the concentration of the reactants. It is expressed as an equation: Rate = k [Reactant1] [Reactant2] ... This equation signifies that the reaction rate is multiplied by the product of the concentrations of reactants raised to some power. The powers, usually represented by exponents in the rate law, denote the reaction order with respect to each reactant. For our specific reaction, the rate law is written as Rate = k [H2][I2]. Here, the reaction is first order in hydrogen gas, H2, and first order in iodine gas, I2.
The overall order of the reaction is the sum of these individual orders. In this case, it's second order because 1 (for H2) + 1 (for I2) = 2. Understanding rate laws helps in predicting how a change in concentrations will affect the reaction rate.
Rate Constant
The rate constant, denoted as k, is a crucial part of the rate law equation. It's a proportionality constant that ties the concentration of reactants to the rates of reaction. Even though it sounds complex, the rate constant simplifies the relationship between [Reactants] and the Rate.
  • The value of k provides insights on the reaction speed at a given temperature.
  • The rate constant changes with changes in temperature and the presence of a catalyst.
  • It's specific to a particular reaction at a specific set of conditions.

In our equation, the rate constant remains unchanged when concentrations change, emphasizing its nature as a factor reflecting conditions rather than concentration itself.
Concentration Effect
Concentration effect refers to how the amount of each reactant can influence the speed of a reaction. In chemical kinetics, concentration significantly impacts the reaction rate, as reflected in the rate law equation. When concentrations of reactants increase, they often lead to an increase in the rate of reaction.
For example, in our reaction, if the concentration of H2 or I2 increases, the rate of the reaction will increase proportionally. This is because more reactants imply more collision occurrences, which enhances the likelihood of products forming.
However, it is important to remember that while concentration changes affect the rate of reaction, they do not alter the rate constant itself.
Reaction Rate
Understanding the reaction rate is vital, as it tells how fast a chemical reaction occurs. The reaction rate can vary and depends on several factors, including concentration, temperature, and presence of catalysts.
  • In the context of our problem, the reaction rate increases with the addition of more H2, due to its concentration increase.
  • This occurs even though other factors, like the rate constant, stay constant.
  • Theres a direct correlation between increased concentrations of reactants and a faster reaction rate, provided that other conditions remain stable.

Thus, when studying reaction rates, focusing on how the concentration of reactants plays a crucial role is often the simplest approach to understanding kinetics.

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Most popular questions from this chapter

A 2.0 L flask holds 0.40 g of helium gas. If the helium is evacuated into a larger container while the temperature is held constant, what will the effect on the entropy of the helium be? (A) It will remain constant because the number of helium molecules does not change. (B) It will decrease because the gas will be more ordered in the larger flask. (C) It will decrease because the molecules will collide with the sides of the larger flask less often than they did in the smaller flask. (D) It will increase because the gas molecules will be more dispersed in the larger flask.

The wavelength range for infrared radiation is \(10^{-5} \mathrm{m},\) while that of ultraviolet radiation is \(10^{-8} \mathrm{m}\) . Which type of radiation has more energy, and why? (A) Ultraviolet has more energy because it has a higher frequency. (B) Ultraviolet has more energy because it has a longer wavelength. (C) Infrared has more energy because it has a lower frequency. (D) Infrared has more energy because it has a shorter wavelength.

A sample of water originally at \(25^{\circ} \mathrm{C}\) is heated to \(75^{\circ} \mathrm{C}\) . As the temperature increases, the vapor pressure of the water is also observed to increase. Why? (A) Water molecules are more likely to have enough energy to break free of the intermolecular forces holding them together. (B) The covalent bonds between the hydrogen and oxygen atoms within individual water molecules are more likely to be broken. (C) The strength of the hydrogen bonding between different water molecules will increase until it exceeds the covalent bond energy within individual water molecules. (D) The electron clouds surrounding each water molecule are becoming less polarizable, weakening the intermolecular forces between them.

Questions 54-56 refer to the following. GRAPH CAN'T COPY Between propane and ethene, which will likely have the higher boiling point and why? (A) Propane, because it has a greater molar mass (B) Propane, because it has a more polarizable electron cloud (C) Ethene, because of the double bond (D) Ethene, because it is smaller in size

What is the mass of oxygen in 148 grams of calcium hydroxide \(\left(\mathrm{Ca}(\mathrm{OH})_{2}\right)\) ? (A) 24 grams (B) 32 grams (C) 48 grams (D) 64 grams

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