Answer:
Final pressure, P2 = 1088.89 atm
Explanation:
<u>Given the following data;</u>
Initial volume, V1 = 725 cm³
Initial temperature, T1 = 30°C
Initial pressure, P1 = 1.19 atm
Final volume, V2 = 1.12 cm³
Final temperature, T2 = 43°C
To find the final pressure (P2), we would use the combined gas law.
Mathematically, the combined gas law is given by the formula;
![\frac {PV}{T} = k](https://tex.z-dn.net/?f=%20%5Cfrac%20%7BPV%7D%7BT%7D%20%3D%20k%20)
![\frac {P_{1}V_{1}}{T_{1}} = \frac {P_{2}V_{2}}{T_{2}}](https://tex.z-dn.net/?f=%20%5Cfrac%20%7BP_%7B1%7DV_%7B1%7D%7D%7BT_%7B1%7D%7D%20%3D%20%5Cfrac%20%7BP_%7B2%7DV_%7B2%7D%7D%7BT_%7B2%7D%7D%20%20)
Substituting into the formula, we have;
![\frac {1.19*715}{30} = \frac {P_{2}*1.12}{43}](https://tex.z-dn.net/?f=%20%5Cfrac%20%7B1.19%2A715%7D%7B30%7D%20%3D%20%5Cfrac%20%7BP_%7B2%7D%2A1.12%7D%7B43%7D%20%20)
![\frac {850.85}{30} = \frac {P_{2}*1.12}{43}](https://tex.z-dn.net/?f=%20%5Cfrac%20%7B850.85%7D%7B30%7D%20%3D%20%5Cfrac%20%7BP_%7B2%7D%2A1.12%7D%7B43%7D%20%20)
![28.3617 = \frac {P_{2}*1.12}{43}](https://tex.z-dn.net/?f=%2028.3617%20%3D%20%5Cfrac%20%7BP_%7B2%7D%2A1.12%7D%7B43%7D%20%20)
Cross-multiplying, we have;
![28.3617 * 43 = 1.12P_{2}](https://tex.z-dn.net/?f=%2028.3617%20%2A%2043%20%3D%201.12P_%7B2%7D%20)
![1219.5531 = 1.12P_{2}](https://tex.z-dn.net/?f=%201219.5531%20%3D%201.12P_%7B2%7D%20)
![P_{2} = \frac {1219.5531}{1.12}](https://tex.z-dn.net/?f=%20P_%7B2%7D%20%3D%20%5Cfrac%20%7B1219.5531%7D%7B1.12%7D%20)
<em>Final pressure, P2 = 1088.89 atm</em>