Problem 68
How many moles of gas must be forced into a 4.8-L tire to give it a gauge pressure of \(32.4\) psi at \(25^{\circ} \mathrm{C}\) ? The gauge pressure is relative to atmospheric pressure. Assume that atmospheric pressure is \(14.7\) psi so that the total pressure in the tire is \(47.1 \mathrm{psi}\).
Problem 69
An experiment shows that a 248-mL gas sample has a mass of \(0.433 \mathrm{~g}\) at a pressure of \(745 \mathrm{~mm} \mathrm{Hg}\) and a temperature of \(28^{\circ} \mathrm{C}\). What is the molar mass of the gas?
Problem 70
An experiment shows that a \(113-\mathrm{mL}\) gas sample has a mass of \(0.171 \mathrm{~g}\) at a pressure of \(721 \mathrm{~mm} \mathrm{Hg}\) and a temperature of \(32{ }^{\circ} \mathrm{C}\). What is the molar mass of the gas?
Problem 71
A sample of gas has a mass of \(38.8 \mathrm{mg}\). Its volume is \(224 \mathrm{~mL}\) at a temperature of \(55^{\circ} \mathrm{C}\) and a pressure of 886 torr. Find the molar mass of the gas.
Problem 72
A sample of gas has a mass of \(0.555 \mathrm{~g}\). Its volume is \(117 \mathrm{~mL}\) at a temperature of \(85^{\circ} \mathrm{C}\) and a pressure of \(753 \mathrm{~mm} \mathrm{Hg}\). Find the molar mass of the gas.
Problem 73
A gas mixture contains each gas at the indicated partial pressure. \(\begin{array}{ll}\mathrm{N}_{2} & 217 \text { torr } \\ \mathrm{O}_{2} & 106 \text { torr } \\ \mathrm{He} & 248 \text { torr }\end{array}\) What is the total pressure of the mixture?
Problem 74
A gas mixture contains each gas at the indicated partial pressure. \(\begin{array}{lr}\mathrm{CO}_{2} & 422 \mathrm{~mm} \mathrm{Hg} \\\ \mathrm{Ar} & 102 \mathrm{~mm} \mathrm{Hg} \\ \mathrm{O}_{2} & 165 \mathrm{~mm} \mathrm{Hg} \\ \mathrm{H}_{2} & 52 \mathrm{~mm} \mathrm{Hg}\end{array}\) What is the total pressure of the mixture?
Problem 75
A heliox deep-sea diving mixture delivers an oxygen partial pressure of \(0.30 \mathrm{~atm}\) when the total pressure is \(11.0 \mathrm{~atm}\). What is the partial pressure of helium in this mixture?
Problem 76
A mixture of helium, nitrogen, and oxygen has a total pressure of \(752 \mathrm{~mm} \mathrm{Hg}\). The partial pressures of helium and nitrogen are \(234 \mathrm{~mm} \mathrm{Hg}\) and \(197 \mathrm{~mm} \mathrm{Hg}\), respectively. What is the partial pressure of oxygen in the mixture?
Problem 79
A gas mixture contains \(78 \%\) nitrogen and \(22 \%\) oxygen. If the total pressure is \(1.12 \mathrm{~atm}\), what are the partial pressures of each component?