Final answer:
To find the final pressure of a gas when given initial and final temperatures and volumes, use the combined gas law equation P1V1/T1 = P2V2/T2. Plug in the known values and solve for the unknown pressure.
Step-by-step explanation:
The question asks for the final pressure of a gas given its initial and final volumes and temperatures, assuming a constant amount of gas. This can be solved using the combined gas law, which relates pressure, volume, and temperature of a fixed amount of gas. The equation for the combined gas law is P1V1/T1 = P2V2/T2, where P is pressure, V is volume, and T is temperature in Kelvin.
Initial conditions: V1 = 30.60 L, T1 = 877.89 K, P1 = 17.95 kPa
Final conditions: V2 = 77.10 L, T2 = 731.75 K, P2 = ? (target variable)
Plugging in the values, the equation becomes:
(17.95 kPa * 30.60 L / 877.89 K) = (P2 * 77.10 L / 731.75 K)
Solving for P2, we find that the final pressure of the gas is:
P2 = (17.95 kPa * 30.60 L / 877.89 K) * (731.75 K / 77.10 L) = x kPa
After calculating the value of x, you will have the final pressure in kPa.