Final answer:
To find the final volume of the sample, we can use the ideal gas law equation. Rearranging the equation, we can substitute the given values to calculate the final volume.
Step-by-step explanation:
To solve this problem, we can use the ideal gas law equation: PV = nRT, where P is the pressure, V is the volume, n is the number of moles, R is the ideal gas constant, and T is the temperature. We can use this equation to find the final volume of the sample.
Given:
- Initial volume (V1) = 17.5 L
- Initial pressure (P1) = 0.75 atm
- Final temperature (T2) = 303 K
- Final pressure (P2) = 0.987 atm
Using the ideal gas law equation, we can rearrange it to solve for the final volume (V2):
V2 = (P1 * V1 * T2) / (P2 * T1)
Now we can substitute the given values into the equation and calculate the final volume of the sample.