Chapter 9: Problem 17
What are some general properties of gases?
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Key Concepts
These are the key concepts you need to understand to accurately answer the question.
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Chapter 9: Problem 17
What are some general properties of gases?
These are the key concepts you need to understand to accurately answer the question.
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How can a hot-air balloon float in air?
Assume that the volume of a fixed amount of gas in a rigid container does not change. Calculate the temperature in degrees Celsius to which the gas would have to be changed to achieve the change in pressure shown in the following table. $$ \begin{array}{|c|c|c|c|} \hline \begin{array}{c} \text { Initial } \\ \text { Temperature } \end{array} & \begin{array}{c} \text { Initial } \\ \text { Pressure } \end{array} & \begin{array}{c} \text { Final } \\ \text { Pressure } \end{array} & \begin{array}{c} \text { Final } \\ \text { Temperature } \end{array} \\ \hline 25.0^{\circ} \mathrm{C} & 243 \text { torr } & 735 \text { torr } & ? \\\ \hline 205 \mathrm{~K} & 2.35 \mathrm{~atm} & 1.20 \mathrm{~atm} & ? \\ \hline 375 \mathrm{~K} & 875 \text { torr } & 0.85 \mathrm{~atm} & ? \\ \hline \end{array} $$
Given a fixed quantity of a gas at constant temperature, calculate the new volume the gas would occupy if the pressure were changed as shown in the following table. $$ \begin{array}{|c|c|c|c|} \hline \begin{array}{c} \text { Initial } \\ \text { Volume } \end{array} & \begin{array}{c} \text { Initial } \\ \text { Pressure } \end{array} & \begin{array}{c} \text { Final } \\ \text { Pressure } \end{array} & \begin{array}{c} \text { Final } \\ \text { Volume } \end{array} \\ \hline 6.00 \mathrm{~L} & 3.00 \mathrm{~atm} & 5.00 \mathrm{~atm} & ? \\ \hline 40.0 \mathrm{~mL} & 60.0 \text { torr } & 90.0 \text { torr } & ? \\ \hline 2.50 \mathrm{~mL} & 40.0 \text { torr } & 255 \text { torr } & ? \\ \hline \end{array} $$
Given the following amounts of gases, calculate the number of moles of each gas. Calculate the volume each amount of gas would occupy at \(100.0^{\circ} \mathrm{C}\) and \(15.0 \mathrm{~atm}\). (a) \(5.8 \mathrm{~g} \mathrm{NH}_{3}\) (b) \(48 \mathrm{~g} \mathrm{O}_{2}\) (c) \(10.8 \mathrm{gHe}\)
Assume that the volume of a fixed amount of gas in a rigid container does not change. Calculate the pressure the gas would exert if the temperature were changed as shown in the following table. $$ \begin{array}{|c|c|c|c|} \hline \begin{array}{c} \text { Initial } \\ \text { Pressure } \end{array} & \begin{array}{c} \text { Initial } \\ \text { Temperature } \end{array} & \begin{array}{c} \text { Final } \\ \text { Temperature } \end{array} & \begin{array}{c} \text { Final } \\ \text { Pressure } \end{array} \\ \hline 302 \text { torr } & 0.0^{\circ} \mathrm{C} & 105.0^{\circ} \mathrm{C} & ? \\ \hline 735 \text { torr } & 25.0^{\circ} \mathrm{C} & 0.0^{\circ} \mathrm{C} & ? \\ \hline 3.25 \mathrm{~atm} & 273 \mathrm{~K} & 373 \mathrm{~K} & ? \\ \hline \end{array} $$
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