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A sample of gas has a volume of 26.7 L at 762 torr. What is the new volume if, with temperature and the amount of gas held constant, the pressure is changed?

A. 45.6 L
B. 35.8 L
C. 19.4 L
D. 14.8 L

Answer :

Final answer:

To find the new volume, we can use Boyle's Law which states that the pressure and volume of a gas are inversely proportional, assuming the temperature and amount of gas remain constant.

Explanation:

To solve this problem, we can use Boyle's Law which states that the pressure and volume of a gas are inversely proportional, assuming the temperature and amount of gas remain constant. So, if the initial volume of the gas is 26.7 L at 762 torr, and the pressure changes to a new value, we can calculate the new volume by using the formula:

Initial Pressure x Initial Volume = New Pressure x New Volume

Substituting the values into the formula, we get:

[tex]762 torr * 26.7 L = New Pressure * New Volume[/tex]

Cross-multiplying and solving for the new volume, we get:

[tex]New Volume = (762 torr * 26.7 L) / New Pressure[/tex]

Given the options provided, we can substitute each value of new pressure into the formula to determine the corresponding new volume.

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