Question

To apply the ideal gas law to problems involving temperature, pressure, volume, and moles of a gas, the four properties of gases (pressure P, volume V, temperature T, and moles of gas n) are related by a single expression known as the ideal gas law: PV = nRT. The variable R is known as the universal gas constant and has the value R = 0.0821 L⋅atm/(mole⋅K). The units of R dictate the units for all other quantities, so when using this value of R, use units of atmospheres for pressure, liters for volume, and kelvins for temperature. Part A: A balloon is floating around outside your window. The temperature outside is 11 °C, and the air pressure is 0.800 atm. Your neighbor, who released the balloon, tells you that he filled it with 4.90 moles of gas. What is the volume of gas inside this balloon? Part B: A 20.0 L gas cylinder is filled with 5.00 moles of gas. The tank is stored at 53 °C. What is the pressure in the tank? Part C: A 160. L kiln is used for vitrifying ceramics. It is currently operating at 915 °C, and the pressure is 1.100 atm. How many moles of air molecules are within the confines of the kiln? Part D: A 16.0 L gas cylinder has been filled with 5.80 moles of gas. You measure the pressure to be 3.70 atm. What is the temperature inside the tank?

          To apply the ideal gas law to problems involving temperature, pressure, volume, and moles of a gas, the four properties of gases (pressure P, volume V, temperature T, and moles of gas n) are related by a single expression known as the ideal gas law: PV = nRT. The variable R is known as the universal gas constant and has the value R = 0.0821 L⋅atm/(mole⋅K). The units of R dictate the units for all other quantities, so when using this value of R, use units of atmospheres for pressure, liters for volume, and kelvins for temperature.

Part A: A balloon is floating around outside your window. The temperature outside is 11 °C, and the air pressure is 0.800 atm. Your neighbor, who released the balloon, tells you that he filled it with 4.90 moles of gas. What is the volume of gas inside this balloon?

Part B: A 20.0 L gas cylinder is filled with 5.00 moles of gas. The tank is stored at 53 °C. What is the pressure in the tank?

Part C: A 160. L kiln is used for vitrifying ceramics. It is currently operating at 915 °C, and the pressure is 1.100 atm. How many moles of air molecules are within the confines of the kiln?

Part D: A 16.0 L gas cylinder has been filled with 5.80 moles of gas. You measure the pressure to be 3.70 atm. What is the temperature inside the tank?

Added by Katrina B.

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