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Published byQuentin Hunt Modified over 9 years ago
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Wake-up 1.Write the formula for Charles Law. 2.Write the formula for Boyle’s Law. 3.Bromine gas has a pressure of 536.8 mmHg. When it is dispensed into a new container, its pressure becomes 784.6 mmHg with a new volume of 412.3 mL. What was the original volume? 4.Identify the Law for #3.
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Ideal Gas Laws What is the IDEAL GAS LAW? What are the variables involved? What is Avogadro ’ s Law and didn ’ t I already learn about him with the mole?
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What is an Ideal Gas? 1. Made up of molecules which are in constant random motion in straight lines.
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What is an Ideal Gas? 2. The volume of the molecules is negligibly small compared to the volume occupied by the gas
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What is an Ideal Gas? 3. All collisions are perfectly elastic. (There is no loss of kinetic energy during the collision.)
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Ideal Gas Law Equation Equation is on the Reference Table
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What is R? R is called the Ideal Gas Constant or Universal Gas Constant
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Gas Constant Value See Reference Table 0.0821 L atm mole K 62.4 8.314 L kPa mole K L mmHg mole K What is the difference between each constant?
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Gas Constant Value See Reference Table 0.0821 L atm mole K 62.4 8.314 L kPa mole K L mmHg mole K Units of Pressure – Select constant by units used in problem
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Proper units of Ideal Gas Formula When using the Ideal Gas Formula, use correct units!!! Check units before use equation. P = Pressure (atm) V = Volume (L) n = Number of moles (mol) R = Gas constant L atm mol K T = Temperature (K)
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Example #1 How many moles of N 2 are in a 750 mL vessel at 26 degrees Celsius and 625 mm Hg? P = 625 mmHg V = 750mL 0.750 L n = ? R = 62.4 L mmHg mol K T = 26°C 299 K (625)(0.75) = (n)(62.4)(299) 468.75 = (18657.6)(n) N = 0.025 mol
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Example #2 If I have 17 moles of gas at a temperature of 67 0 C, and a volume of 88.89 liters, what is the pressure (kPa) of the gas? P = ? kPa V = 88.89 L n = 17 mol R = 8.314 L kPa mol K T = 67°C 340 K (P)(88.89) = (17)(8.314)(340) (P)(88.89) = (48054.92) P = 540.6 kPa
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Example #3 If I have 7.7 moles of gas at a pressure of 0.09 atm and at a temperature of 56 0 C, what is the volume of the container that the gas is in? P = 0.09 atm V = ? n = 7.7 mol R = 0.0821 L atm mol K T = 56°C 329 K (0.09)(V) = (7.7)(0.0821)(329) (0.09)(V) = (207.98) N = 2310.9 L
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