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This educational resource covers essential gas laws, including Boyle's Law, Gay-Lussac's Law, and Charles' Law, explaining their fundamental principles and relationships. Boyle's Law illustrates the inverse relationship between pressure and volume; Gay-Lussac's Law demonstrates the direct relationship between pressure and temperature; and Charles' Law explores the direct relationship between volume and temperature. Problems are provided to apply these laws, enhancing understanding through examples involving pressure, volume, and temperature calculations.
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Warm Up - 2/15 on page 50 • What is kept constant in Boyle’s Law? • Solve for the unknown: • P1 = 0.456 atm • V1 = 289 mL • P2 = 0.287 atm • V2 = ???
Gay-Lussac’s Law • Created by Joseph Gay-Lussac • Deals with changes in pressure and temperature (volume kept constant) • As one increases, the other increases as well (direct relationship)
Formula • P1 = P2 • T1 T2
Example • At 120°C, the pressure of a sample of nitrogen is 1.07 atm. What will the pressure be at 205°C? • P1 = 1.07 atm • T1 = 120°C • P2 = ??? • T2 = 205°C
Example • (1.07 atm) = P2 • (120°C) (205°C) • (1.07 atm)*(205°C) = P2 • (120°C) • P2 = 1.80 atm
Charles’ Law • Created by Jacques Charles • Deals with changes in volume and temperature (pressure kept constant) • As one increases, the other increases as well (direct relationship)
Formula • V1 = V2 • T1 T2
Example • A gas at 65°C occupies 4.22 L. At what Celsius temperature will the volume be 3.87 L? • V1 = 4.22 L • T1 = 65°C • V2 = 3.87 L • T2 = ???
Example • (4.22 L) = (3.87 L) • (65°C) T2 • (4.22 L)*T2 = (3.87 L)*(65°C) • T2 = (3.87 L)*(65°C) = 59.6°C • (4.22 L)