Indicate whether each statement is true or false. (a) A reaction that is spontaneous in one direction will be nonspontaneous in the reverse direction under the same reaction conditions. (b) All spontaneous processes are fast. (c) Most spontaneous processes are reversible. (d) An isothermal process is one in which the system loses no heat. (e) The maximum amount of work can be accomplished by an irreversible process rather than a reversible one.

Short Answer

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(a) True - A spontaneous reaction in one direction will be nonspontaneous in the reverse direction under the same conditions, as it moves away from equilibrium. (b) False - Spontaneity refers to the tendency of a process, not its speed, so spontaneous processes can be slow or fast. (c) True - Most spontaneous processes are reversible, although some, like combustion, are irreversible. (d) False - An isothermal process involves constant temperature, not no heat exchange; heat can be lost or gained to maintain constant temperature. (e) False - The maximum amount of work is accomplished by reversible processes, as they are more efficient with minimal energy loss compared to irreversible processes.

Step by step solution

01

Statement (a)

A reaction that is spontaneous in one direction will be nonspontaneous in the reverse direction under the same reaction conditions. This statement is true. A spontaneous reaction occurs naturally and tends to move towards equilibrium. Under the same conditions, going in the reverse direction will mean moving away from equilibrium, making the reaction nonspontaneous.
02

Statement (b)

All spontaneous processes are fast. This statement is false. Spontaneity refers to the natural tendency of a process, not its speed. There can be slow spontaneous processes and fast spontaneous processes. The rate of a process depends on the reaction rate, activation energy, and other factors.
03

Statement (c)

Most spontaneous processes are reversible. This statement is true. A reversible process is one where the system and its surroundings can be returned to their initial states, and most spontaneous processes are reversible. However, some spontaneous processes, such as combustion, are irreversible because they release a large amount of energy and cannot be easily reversed. But in general, spontaneous processes can be reversed under certain conditions, making them reversible.
04

Statement (d)

An isothermal process is one in which the system loses no heat. This statement is false. An isothermal process is one in which the temperature of the system remains constant. This does not imply that there is no heat exchange between the system and its surroundings. In fact, during an isothermal process, the system may lose or gain heat to maintain a constant temperature.
05

Statement (e)

The maximum amount of work can be accomplished by an irreversible process rather than a reversible one. This statement is false. The maximum amount of work can be accomplished by a reversible process, not an irreversible one. During a reversible process, the system and its surroundings are always in equilibrium, allowing the process to have maximum efficiency and accomplish the greatest amount of work. Irreversible processes are less efficient due to the presence of dissipative forces, such as friction and turbulence, which cause energy to be lost as heat.

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Most popular questions from this chapter

Use data in Appendix C to calculate \(\Delta H^{\circ}, \Delta S^{\circ},\) and \(\Delta G^{\circ}\) at \(25^{\circ} \mathrm{C}\) for each of the following reactions. $$ \begin{array}{l}{\text { (a) } 4 \mathrm{Cr}(s)+3 \mathrm{O}_{2}(g) \longrightarrow 2 \mathrm{Cr}_{2} \mathrm{O}_{3}(s)} \\ {\text { (b) } \mathrm{BaCO}_{3}(s) \longrightarrow \mathrm{BaO}(s)+\mathrm{CO}_{2}(g)} \\\ {\text { (c) } 2 \mathrm{P}(s)+10 \mathrm{HF}(g) \longrightarrow 2 \mathrm{PF}_{5}(g)+5 \mathrm{H}_{2}(g)} \\ {\text { (d) } \mathrm{K}(s)+\mathrm{O}_{2}(g) \longrightarrow \mathrm{KO}_{2}(s)}\end{array} $$

The \(K_{b}\) for methylamine \(\left(\mathrm{CH}_{3} \mathrm{NH}_{2}\right)\) at \(25^{\circ} \mathrm{C}\) is given in Appendix \(\mathrm{D}\) . (a) Write the chemical equation for the equilibrium that corresponds to \(K_{b}\) . (b) By using the value of \(K_{b},\) calculate \(\Delta G^{\circ}\) for the equilibrium in part (a). (c) What is the value of \(\Delta G\) at equilibrium? (d) What is the value of \(\Delta G\) when \(\left[\mathrm{H}^{+}\right]=6.7 \times 10^{-9} M,\left[\mathrm{CH}_{3} \mathrm{NH}_{3}^{+}\right]=2.4 \times 10^{-3} \mathrm{M}\) and \(\left[\mathrm{CH}_{3} \mathrm{NH}_{2}\right]=0.098 \mathrm{M} ?\)

For a certain chemical reaction, \(\Delta H^{\circ}=-35.4 \mathrm{kJ}\) and \(\Delta S^{\circ}=-85.5 \mathrm{J} / \mathrm{K}\) . (a) Is the reaction exothermic or endothermic? (b) Does the reaction lead to an increase or decrease in the randomness or disorder of the system?(c) Calculate \(\Delta G^{\circ}\) for the reaction at 298 \(\mathrm{K}\) . (d) Is the reaction spontaneous at 298 \(\mathrm{K}\) under standard conditions?

Indicate whether each statement is true or false. (a) The entropy of the universe increases for any spontaneous process. (b) The entropy change of the system is equal and opposite that of the surroundings for any irreversible process. (c) The entropy of the system must increase in any spontaneous process. (a) The entropy change for an isothermal process depends on both the absolute temperature and the amount of heat reversibly transferred.

Indicate whether \(\Delta G\) increases, decreases, or stays the same for each of the following reactions as the partial pressure of \(\mathrm{O}_{2}\) is increased: $$ \begin{array}{l}{\text { (a) } 2 \mathrm{CO}(g)+\mathrm{O}_{2}(g) \longrightarrow 2 \mathrm{CO}_{2}(g)} \\ {\text { (b) } 2 \mathrm{H}_{2} \mathrm{O}_{2}(l) \longrightarrow 2 \mathrm{H}_{2} \mathrm{O}(l)+\mathrm{O}_{2}(g)} \\ {\text { (c) } 2 \mathrm{KClO}_{3}(s) \longrightarrow 2 \mathrm{KCl}(s)+3 \mathrm{O}_{2}(g)}\end{array} $$

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