Final answer:
To find the final pressure of an ideal gas when the volume and temperature change, the combined gas law is used, applying the initial conditions (2.25 L, 283 K, 1.13 atm) and the final conditions (1.74 L, 304 K) to solve for the new pressure.
Step-by-step explanation:
To calculate the pressure when the volume of an ideal gas changes from 2.25 L at 283 K and 1.13 atm to 1.74 L at 304 K, we use the combined gas law. The combined gas law is expressed as:
((P1 * V1) / T1) = ((P2 * V2) / T2)
We are given:
- Initial volume (V1): 2.25 L
- Initial temperature (T1): 283 K
- Initial pressure (P1): 1.13 atm
- Final volume (V2): 1.74 L
- Final temperature (T2): 304 K
Rearranging the formula to solve for the final pressure (P2), we get:
P2 = (P1 * V1 * T2) / (V2 * T1)
Substituting in the known values:
P2 = (1.13 atm * 2.25 L * 304 K) / (1.74 L * 283 K)
Which gives us the final pressure of the gas.