Chapter 9: Problem 84
How is the standard state of an element defined? What is Hess's law, and why does it "work"?
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Chapter 9: Problem 84
How is the standard state of an element defined? What is Hess's law, and why does it "work"?
These are the key concepts you need to understand to accurately answer the question.
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Instant hot packs contain a solid and a pouch of water. When the pack is squeezed, the pouch breaks and the solid dissolves, increasing the temperature because of the exothermic reaction. The following reaction is used to make a hot pack: $$\mathrm{LiCl}(s) \stackrel{\mathrm{H}_{2} \mathrm{O}}{\longrightarrow} \mathrm{Li}^{+}(a q)+\mathrm{Cl}^{-}(a q) \quad \Delta H=-36.9 \mathrm{~kJ}$$ What is the final temperature in a squeezed hot pack that contains \(25.0 \mathrm{~g}\) of \(\mathrm{LiCl}\) dissolved in \(125 \mathrm{~mL}\) of water? Assume a specific heat of \(4.18 \mathrm{~J} /\left(\mathrm{g} \cdot{ }^{\circ} \mathrm{C}\right)\) for the solution, an initial temperature of \(25.0{ }^{\circ} \mathrm{C}\), and no heat transfer between the hot pack and the environment.
Styrene \(\left(\mathrm{C}_{8} \mathrm{H}_{8}\right)\), the precursor of polystyrene polymers, has a standard heat of combustion of \(-4395 \mathrm{~kJ} / \mathrm{mol}\). Write a balanced equation for the combustion reaction, and calculate \(\Delta H_{f}^{\circ}\) for styrene in \(\mathrm{kJ} / \mathrm{mol}\). $$\begin{aligned}\Delta H_{\mathrm{f}}^{\circ}\left[\mathrm{CO}_{2}(g)\right] &=-393.5 \mathrm{~kJ} / \mathrm{mol} ; \\ \Delta H_{\mathrm{f}}^{\circ}\left[\mathrm{H}_{2} \mathrm{O}(l)\right] &=-285.8 \mathrm{~kJ} / \mathrm{mol} \end{aligned}$$
Which of the following are state functions, and which are not? (a) The distance from your dorm room to your chemistry class. (b) The temperature in the room of your chemistry class. (c) The balance in your bank account.
A \(110.0 \mathrm{~g}\) piece of molybdenum metal is heated to \(100.0^{\circ} \mathrm{C}\) and placed in a calorimeter that contains \(150.0 \mathrm{~g}\) of water at \(24.6^{\circ} \mathrm{C}\). The system reaches equilibrium at a final temperature of \(28.0^{\circ} \mathrm{C}\). Calculate the specific heat of molybdenum metal in \(\mathrm{J} /\left(\mathrm{g} \cdot{ }^{\circ} \mathrm{C}\right)\). The specific heat of water is \(4.184 \mathrm{~J} /\left(\mathrm{g} \cdot{ }^{\circ} \mathrm{C}\right)\).
A reaction is carried out in a cylinder fitted with a movable piston. The starting volume is \(V=5.00 \mathrm{~L}\), and the apparatus is held at constant temperature and pressure. Assuming that \(\Delta H=-35.0 \mathrm{~kJ}\) and \(\Delta E=-34.8 \mathrm{~kJ}\), redraw the piston to show its position after reaction. Does \(V\) increase, decrease, or remain the same?
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