The ideal gas law pV = 0.082T shows the relationship among volume V, pressure p, and the temperature T for a fixed amount (1 mole) of a gas. But chemists believe that in many situations, the van der Waals equation gives more accurate results. If we measure temperature T in kelvins, volume V in liters, and pressure p in atmospheres (1 atm is the pressure exerted by the atmosphere at sea level), then the relationship for carbon dioxide is given by 0.082T 3.592 atm. P = V – 0.043 What volume does this equation predict for 1 mole of carbon dioxide at 450 kelvins and 70 atm? (Suggestion: Consider volumes ranging from 0 1 to 1 liter Round vou

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The ideal gas law pV = 0.082T shows the relationship among volume V, pressure p, and the temperature T for a fixed amount (1 mole) of a gas. But chemists believe that
in many situations, the van der Waals equation gives more accurate results. If we measure temperature T in kelvins, volume V in liters, and pressure p in atmospheres
(1 atm is the pressure exerted by the atmosphere at sea level), then the relationship for carbon dioxide is given by
0.082T
3.592
P =
V – 0.043
atm.
v2
What volume does this equation predict for 1 mole of carbon dioxide at 450 kelvins and 70 atm? (Suggestion: Consider volumes ranging from 0.1 to 1 liter. Round you
answer.to.two.decimal places.)
Transcribed Image Text:The ideal gas law pV = 0.082T shows the relationship among volume V, pressure p, and the temperature T for a fixed amount (1 mole) of a gas. But chemists believe that in many situations, the van der Waals equation gives more accurate results. If we measure temperature T in kelvins, volume V in liters, and pressure p in atmospheres (1 atm is the pressure exerted by the atmosphere at sea level), then the relationship for carbon dioxide is given by 0.082T 3.592 P = V – 0.043 atm. v2 What volume does this equation predict for 1 mole of carbon dioxide at 450 kelvins and 70 atm? (Suggestion: Consider volumes ranging from 0.1 to 1 liter. Round you answer.to.two.decimal places.)
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