GAS LAWS AND THEIR APPLICATIONS

What is Boyle's Law, and what does it state about the relationship between pressure and volume of a gas? Boyle's Law states that the pressure of a gas is inversely proportional to its volume when the temperature remains constant. Mathematically, P1V1=P2V2P_1V_1 = P_2V_2. A sample of gas occupies 10 liters at a pressure of 2 atm. If the pressure is increased to 4 atm, what will be the new volume? 5 liters Explain Charles's Law and its relationship between the volume and temperature of a gas. Charles's Law states that the volume of a gas is directly proportional to its absolute temperature (in Kelvin) if the pressure remains constant. Mathematically, V1T1=V2T2frac{V_1}{T_1} = frac{V_2}{T_2}. A gas has a volume of 5 liters at 300 K. If the temperature increases to 600 K, what will be the new volume, assuming constant pressure? 10 liters What is Gay-Lussac's Law, and how does it describe the relationship between pressure and temperature? Gay-Lussac's Law states that the pressure of a gas is directly proportional to its absolute temperature (in Kelvin) when the volume is constant. Mathematically, P1T1=P2T2frac{P_1}{T_1} = frac{P_2}{T_2}. If the pressure of a gas is 3 atm at 200 K, what will the pressure be if the temperature rises to 400 K, assuming constant volume? 6 atm Define Avogadro's Law and its relationship between the volume and the number of moles of a gas. Avogadro's Law states that the volume of a gas is directly proportional to the number of moles of the gas when the temperature and pressure remain constant. Mathematically, V1n1=V2n2frac{V_1}{n_1} = frac{V_2}{n_2}. If 2 moles of gas occupy 8 liters, what will be the volume of 5 moles of the gas under the same conditions? 20 liters What is the Ideal Gas Law, and how is it expressed mathematically? The Ideal Gas Law combines Boyle's, Charles's, and Avogadro's laws into a single equation: PV=nRTPV = nRT, where PP is pressure, VV is volume, nn is the number of moles, RR is the ideal gas constant, and TT is the temperature in Kelvin. A gas has a pressure of 1 atm, a volume of 22.4 liters, and a temperature of 273 K. How many moles of gas are present? (Use R=0.0821 Lcdotpatmcdotpmol−1K−1R = 0.0821 , text{L·atm·mol}^{-1} text{K}^{-1}) 1 mole What is Dalton’s Law of Partial Pressures, and how is it applied? Dalton’s Law states that the total pressure of a mixture of gases is equal to the sum of the partial pressures of each individual gas. Mathematically, Ptotal=P1+P2+P3+…P_{text{total}} = P_1 + P_2 + P_3 + dots. If a gas mixture contains oxygen at 2 atm, nitrogen at 3 atm, and helium at 1 atm, what is the total pressure of the mixture? 6 atm Explain Graham’s Law of Effusion and its mathematical expression. Graham’s Law states that the rate of effusion of a gas is inversely proportional to the square root of its molar mass. Mathematically, Rate1Rate2=M2M1frac{text{Rate}_1}{text{Rate}_2} = sqrt{frac{M_2}{M_1}}. If gas A has a molar mass of 4 g/mol and gas B has a molar mass of 16 g/mol, what is the ratio of their rates of effusion? 2:1 What is the significance of real gas behavior deviating from the Ideal Gas Law? Real gases deviate from the Ideal Gas Law at high pressures and low temperatures due to intermolecular forces and the finite volume of gas molecules. Name two conditions under which gases are most likely to behave non-ideally. High pressure and low temperature Boyle's Law indirect relationship between pressure and volume Boyle's Formula P1 x V1 = P2 x V2 Charles's Law direct relationship between volume and temperature Charles's Formula V1/T1 = V2/T2 Gay Lussac's Law