Final answer:
Using Boyle's Law, the final absolute pressure of the gas when its volume increases to 850 liters while temperature remains constant is approximately 141.176 kPa.
Step-by-step explanation:
The student's question involves the application of Boyle's Law, which is a principle in Physics, specifically in the area of thermodynamics dealing with ideal gases. Boyle's Law states that for a given mass of an ideal gas at constant temperature, the volume of the gas is inversely proportional to its pressure. We can express this as P1V1 = P2V2 where P1 and V1 are the initial pressure and volume, and P2 and V2 are the final pressure and volume, respectively.
Using the data provided:
- Initial Volume (V1): 300 L
- Initial Pressure (P1): 400 kPa
- Final Volume (V2): 850 L
Keeping temperature constant and wanting to find the final pressure (P2), we rearrange the formula to solve for P2:
P2 = P1V1 / V2
Substituting the values, we get:
P2 = (400 kPa * 300 L) / 850 L
P2 = 141.176 kPa (approximated to three decimal places)
Therefore, the final absolute pressure of the gas when its volume changes to 850 L while temperature remains constant is approximately 141.176 kPa.