Question

"Calculate the volume of a gas at 810 torr when the pressure increases to 7.2 atm, and you have 16 L."

Select one:
a) 0.45 L
b) 4.50 L
c) 8.00 L
d) 80.00 L

Answer 1

Using Boyle's Law, we converted the initial pressure to the same unit as the final pressure and found the final volume of the gas. However, the calculated volume did not match any of the options, suggesting an error in the question or options.

Step-by-step explanation:

To calculate the volume of a gas after a pressure change, you use Boyle's Law, which states that the pressure and volume of a gas have an inverse relationship when temperature and amount of gas are held constant. Boyle's Law can be written as P1V1 = P2V2, where P1 and V1 are the initial pressure and volume, and P2 and V2 are the final pressure and volume, respectively.

In this case, the initial pressure (P1) is 810 torr, and we want to find the final volume (V2) when the pressure increases to 7.2 atm. First, convert the initial pressure to atmospheres so that both pressure values are in the same units: (810 torr / 760 torr/atm) = 1.066 atm. Then apply Boyle's Law: (1.066 atm * 16 L) = (7.2 atm * V2), solving for V2 gives V2 = (1.066 atm * 16 L) / 7.2 atm, which equals approximately 2.37 L. However, this value does not match any of the provided options, indicating a possible error in the initial question or the options provided.