Chemistry I14) Calculate the volume of a gas (in L) at a pressure of 1.00 x 10^2 kPa if its volume at 1.20 x 10^2 kPa is 1.50 x 10^3 mL. 1.80 L 1.90 L 1.85 L 1.75 LPrevious Question Next QuestionDo not use the 'Forward' or 'Back' button on your browser.
Question
Chemistry I14) Calculate the volume of a gas (in L) at a pressure of 1.00 x 10^2 kPa if its volume at 1.20 x 10^2 kPa is 1.50 x 10^3 mL. 1.80 L 1.90 L 1.85 L 1.75 LPrevious Question Next QuestionDo not use the 'Forward' or 'Back' button on your browser.
Solution
This problem can be solved using Boyle's Law, which states that the pressure and volume of a gas have an inverse relationship when temperature is held constant.
Boyle's Law is represented by the formula P1V1 = P2V2, where P1 and V1 are the initial pressure and volume, and P2 and V2 are the final pressure and volume.
Given in the problem: P1 = 1.20 x 10^2 kPa V1 = 1.50 x 10^3 mL P2 = 1.00 x 10^2 kPa
We are asked to solve for V2.
First, convert V1 from mL to L because the answer should be in L. 1 L = 1000 mL, so V1 = 1.50 x 10^3 mL / 1000 = 1.50 L.
Now, substitute the known values into Boyle's Law and solve for V2:
(1.20 x 10^2 kPa)(1.50 L) = (1.00 x 10^2 kPa)(V2)
Solving for V2 gives:
V2 = (1.20 x 10^2 kPa)(1.50 L) / 1.00 x 10^2 kPa = 1.80 L
So, the volume of the gas at a pressure of 1.00 x 10^2 kPa is 1.80 L.
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