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1.A gas occupies 500mL at 20° C and 742 torr. What will be the volume of the gas be if the pressure is increased to 795 torr but the temperature remains.

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Presentation on theme: "1.A gas occupies 500mL at 20° C and 742 torr. What will be the volume of the gas be if the pressure is increased to 795 torr but the temperature remains."— Presentation transcript:

1 1.A gas occupies 500mL at 20° C and 742 torr. What will be the volume of the gas be if the pressure is increased to 795 torr but the temperature remains constant? 2.You have 2785L of propane, C 3 H 8, at 830 mm Hg. What is the volume of the propane at standard pressure (760mmHg) assuming the temperature remains constant? 3.You have 50.0 mL of nitrogen at 25° C and a pressure of 736 mm Hg. What volume will you have if the temperature increases by 35°C, assuming the pressure does not change? 4.A sample of oxygen occupies a volume of 160 dm 3 at 91° C. What will be volume of oxygen when the temperature drops to 0.00° C if the pressure remains constant? 5.Calculate the final pressure inside a scuba tank after it cools from 1.00 x 10 3 °C to 25.0°C. The initial pressure in the tank is 130.0 atm. Since it’s a tank, volume is constant. Boyle’s LawCharle’s LawGay-Lussac’s law P 1 V 1 = P 2 V 2 V 1 /T 1 = V 2 /T 2 P 1 /T 1 = P 2 /T 2 T = ConstantP = ConstantV = Constant As V↑P↓ As V↓P↑As T↑V↑ As T↓V↓ As T↑P↑ As T↓P↓ STP: 0C, 32F, 273K 1 Bar, 1Atm, 14.5psi, 100,000Pa

2 1.A gas occupies 500mL at 20° C and 742 torr. What will be the volume of the gas be if the pressure is increased to 795 torr but the temperature remains constant? 2.You have 2785L of propane, C 3 H 8, at 830 mm Hg. What is the volume of the propane at standard pressure (760mmHg) assuming the temperature remains constant? 3.You have 50.0 mL of nitrogen at 25° C and a pressure of 736 mm Hg. What volume will you have if the temperature increases by 35°C, assuming the pressure does not change? 4.A sample of oxygen occupies a volume of 160 dm 3 at 91° C. What will be volume of oxygen when the temperature drops to 0.00° C if the pressure remains constant? 5.Calculate the final pressure inside a scuba tank after it cools from 1.00 x 10 3 °C to 25.0°C. The initial pressure in the tank is 130.0 atm. Since it’s a tank, volume is constant. Boyle’s LawCharle’s LawGay-Lussac’s law P 1 V 1 = P 2 V 2 V 1 /T 1 = V 2 /T 2 P 1 /T 1 = P 2 /T 2 T = ConstantP = ConstantV = Constant As V↑P↓ As V↓P↑As T↑V↑ As T↓V↓ As T↑P↑ As T↓P↓ Rearrange and solve for V 2 P 1 = 742torr V 1 = 500mL P 2 = 795torr V 2 =? What we know Plug in values

3 1.A gas occupies 500mL at 20° C and 742 torr. What will be the volume of the gas be if the pressure is increased to 795 torr but the temperature remains constant? 2.You have 2785L of propane, C 3 H 8, at 830 mm Hg. What is the volume of the propane at standard pressure (760mmHg) assuming the temperature remains constant? 3.You have 50.0 mL of nitrogen at 25° C and a pressure of 736 mm Hg. What volume will you have if the temperature increases by 35°C, assuming the pressure does not change? 4.A sample of oxygen occupies a volume of 160 dm 3 at 91° C. What will be volume of oxygen when the temperature drops to 0.00° C if the pressure remains constant? 5.Calculate the final pressure inside a scuba tank after it cools from 1.00 x 10 3 °C to 25.0°C. The initial pressure in the tank is 130.0 atm. Since it’s a tank, volume is constant. Boyle’s LawCharle’s LawGay-Lussac’s law P 1 V 1 = P 2 V 2 V 1 /T 1 = V 2 /T 2 P 1 /T 1 = P 2 /T 2 T = ConstantP = ConstantV = Constant As V↑P↓ As V↓P↑As T↑V↑ As T↓V↓ As T↑P↑ As T↓P↓ Rearrange and solve for V 2 P 1 = 830mm Hg V 1 = 2785L P 2 = 760mm Hg V 2 =? What we know Plug in values

4 1.A gas occupies 500mL at 20° C and 742 torr. What will be the volume of the gas be if the pressure is increased to 795 torr but the temperature remains constant? 2.You have 2785L of propane, C 3 H 8, at 830 mm Hg. What is the volume of the propane at standard pressure (760mmHg) assuming the temperature remains constant? 3.You have 50.0 mL of nitrogen at 25° C and a pressure of 736 mm Hg. What volume will you have if the temperature increases by 35°C, assuming the pressure does not change? 4.A sample of oxygen occupies a volume of 160 dm 3 at 91° C. What will be volume of oxygen when the temperature drops to 0.00° C if the pressure remains constant? 5.Calculate the final pressure inside a scuba tank after it cools from 1.00 x 10 3 °C to 25.0°C. The initial pressure in the tank is 130.0 atm. Since it’s a tank, volume is constant. Boyle’s LawCharle’s LawGay-Lussac’s law P 1 V 1 = P 2 V 2 V 1 /T 1 = V 2 /T 2 P 1 /T 1 = P 2 /T 2 T = ConstantP = ConstantV = Constant As V↑P↓ As V↓P↑As T↑V↑ As T↓V↓ As T↑P↑ As T↓P↓ Rearrange and solve for V 2 V 1 = 50mL T 1 = 25°C V 2 = ? T 2 = 60°C What we know Plug in values

5 1.A gas occupies 500mL at 20° C and 742 torr. What will be the volume of the gas be if the pressure is increased to 795 torr but the temperature remains constant? 2.You have 2785L of propane, C 3 H 8, at 830 mm Hg. What is the volume of the propane at standard pressure (760mmHg) assuming the temperature remains constant? 3.You have 50.0 mL of nitrogen at 25° C and a pressure of 736 mm Hg. What volume will you have if the temperature increases by 35°C, assuming the pressure does not change? 4.A sample of oxygen occupies a volume of 160 dm 3 at 91° C. What will be volume of oxygen when the temperature drops to 0.00° C if the pressure remains constant? 5.Calculate the final pressure inside a scuba tank after it cools from 1.00 x 10 3 °C to 25.0°C. The initial pressure in the tank is 130.0 atm. Since it’s a tank, volume is constant. Boyle’s LawCharle’s LawGay-Lussac’s law P 1 V 1 = P 2 V 2 V 1 /T 1 = V 2 /T 2 P 1 /T 1 = P 2 /T 2 T = ConstantP = ConstantV = Constant As V↑P↓ As V↓P↑As T↑V↑ As T↓V↓ As T↑P↑ As T↓P↓ We have a division by zero and even if we rearrange this the 0°C makes the volume to be zero. How can a sample of gas take up no space at all? All gas law problems must be done using Kelvin. V 1 = 160dm 3 T 1 = 91°C V 2 = ? T 2 = 0°C What we know Plug in values

6 1.A gas occupies 500mL at 20° C and 742 torr. What will be the volume of the gas be if the pressure is increased to 795 torr but the temperature remains constant? 2.You have 2785L of propane, C 3 H 8, at 830 mm Hg. What is the volume of the propane at standard pressure (760mmHg) assuming the temperature remains constant? 3.You have 50.0 mL of nitrogen at 25° C and a pressure of 736 mm Hg. What volume will you have if the temperature increases by 35°C, assuming the pressure does not change? 4.A sample of oxygen occupies a volume of 160 dm 3 at 91° C. What will be volume of oxygen when the temperature drops to 0.00° C if the pressure remains constant? 5.Calculate the final pressure inside a scuba tank after it cools from 1.00 x 10 3 °C to 25.0°C. The initial pressure in the tank is 130.0 atm. Since it’s a tank, volume is constant. Boyle’s LawCharle’s LawGay-Lussac’s law P 1 V 1 = P 2 V 2 V 1 /T 1 = V 2 /T 2 P 1 /T 1 = P 2 /T 2 T = ConstantP = ConstantV = Constant As V↑P↓ As V↓P↑As T↑V↑ As T↓V↓ As T↑P↑ As T↓P↓ V 1 = 160dm 3 T 1 = 364.15°K V 2 = ? T 2 = 273.15°K What we know Plug in values Solve for V 2

7 1.A gas occupies 500mL at 20° C and 742 torr. What will be the volume of the gas be if the pressure is increased to 795 torr but the temperature remains constant? 2.You have 2785L of propane, C 3 H 8, at 830 mm Hg. What is the volume of the propane at standard pressure (760mmHg) assuming the temperature remains constant? 3.You have 50.0 mL of nitrogen at 25° C and a pressure of 736 mm Hg. What volume will you have if the temperature increases by 35°C, assuming the pressure does not change? 4.A sample of oxygen occupies a volume of 160 dm 3 at 91° C. What will be volume of oxygen when the temperature drops to 0.00° C if the pressure remains constant? 5.Calculate the final pressure inside a scuba tank after it cools from 1.00 x 10 3 °C to 25.0°C. The initial pressure in the tank is 130.0 atm. Since it’s a tank, volume is constant. Boyle’s LawCharle’s LawGay-Lussac’s law P 1 V 1 = P 2 V 2 V 1 /T 1 = V 2 /T 2 P 1 /T 1 = P 2 /T 2 T = ConstantP = ConstantV = Constant As V↑P↓ As V↓P↑As T↑V↑ As T↓V↓ As T↑P↑ As T↓P↓ Rearrange and solve for V 2 P 1 = 130atm T 1 = 1000°C P 2 = ? T 2 = 25°C What we know Plug in values


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