Chapter 6: Problem 67
Express Hess's law in your own words.
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Chapter 6: Problem 67
Express Hess's law in your own words.
These are the key concepts you need to understand to accurately answer the question.
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A balloonist begins a trip in a helium-filled balloon in early morning when the temperature is \(15^{\circ} \mathrm{C}\). By mid-afternoon, the temperature is \(30 .^{\circ} \mathrm{C}\). Assuming the pressure remains at \(1.00 \mathrm{~atm}\), for each mole of helium, calculate the following: (a) The initial and final volumes (b) The change in internal energy, \(\Delta E\) (Hint: Helium behaves like an ideal gas, so \(E=\frac{3}{2} n R T,\) Be sure the units of \(R\) are consistent with those of \(E\).) (c) The work (w) done by the helium (in J) (d) The heat \((q)\) transferred (in \(J\) ) (e) \(\Delta H\) for the process (in \(J\) ) (f) Explain the relationship between the answers to parts (d) and (e).
A chemist places \(1.750 \mathrm{~g}\) of ethanol, \(\mathrm{C}_{2} \mathrm{H}_{6} \mathrm{O},\) in a bomb calorimeter with a heat capacity of \(12.05 \mathrm{~kJ} / \mathrm{K}\). The sample is burned and the temperature of the calorimeter increases by \(4.287^{\circ} \mathrm{C}\). Calculate \(\Delta E\) for the combustion of ethanol in \(\mathrm{kJ} / \mathrm{mol} .\)
Stearic acid \(\left(\mathrm{C}_{18} \mathrm{H}_{36} \mathrm{O}_{2}\right)\) is a fatty acid, a molecule with a long hydrocarbon chain and an organic acid group (COOH) at the end. It is used to make cosmetics, ointments, soaps, and candles and is found in animal tissue as part of many saturated fats. In fact, when you eat meat, you are ingesting some fats containing stearic acid. (a) Write a balanced equation for the combustion of stearic acid to gaseous products. (b) Calculate \(\Delta H_{\mathrm{rm}}^{\circ}\) for this combustion \(\left(\Delta H_{\mathrm{i}}^{\circ}\right.\) of \(\mathrm{C}_{18} \mathrm{H}_{36} \mathrm{O}_{2}=\) \(-948 \mathrm{~kJ} / \mathrm{mol})\) (c) Calculate the heat \((q)\) released in \(\mathrm{kJ}\) and kcal when \(1.00 \mathrm{~g}\) of stearic acid is burned completely. (d) A candy bar contains \(11.0 \mathrm{~g}\) of fat and provides \(100 .\) Cal from fat; is this consistent with your answer for part (c)?
Draw an enthalpy diagram for a general exothermic reaction; label the axis, reactants, products, and \(\Delta H\) with its sign.
Kerosene, a common space-heater fuel, is a mixture of hydrocarbons whose "average" formula is \(\mathrm{C}_{12} \mathrm{H}_{26}\) (a) Write a balanced equation, using the simplest whole-number coefficients, for the complete combustion of kerosene to gases. (b) If \(\Delta H_{\mathrm{rn}}^{\circ}=-1.50 \times 10^{4} \mathrm{~kJ}\) for the combustion equation as written in part (a), determine \(\Delta H_{\mathrm{f}}^{\circ}\) of kerosene. (c) Calculate the heat released by combustion of 0.50 gal of kerosene \((d\) of kerosene \(=0.749 \mathrm{~g} / \mathrm{mL})\) (d) How many gallons of kerosene must be burned for a kerosene furnace to produce \(1250 .\) Btu \((1 \mathrm{Btu}=1.055 \mathrm{~kJ}) ?\)
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