Question

I keep getting 37.5 KPA but apparently that isn't the answer can anyone help?

Answer 1

The pressure of the gas is 281.25 mmHg

Step-by-step explanation

Given that;

The initial pressure of the gas is 75 mmHg

The intial temperature of the gas is 80K

The final temperature of the gas is 27 degrees Celcius

Follow the steps below to find the final pressure of the gas

Step 1; Convert the final temperature to degrees kelvin

`\text{ T K = t}\degree C\text{ + 273.15}`
`\begin{gathered} \text{ T K = 27 + 273.15} \\ \text{ T K = 300.15K} \end{gathered}`

Step 2; Apply the Gay Lussac's law

`\text{ }\frac{\text{ P1}}{\text{ T1}}\text{ = }\frac{\text{ P2}}{\text{ T2}}`
`\begin{gathered} \text{ }\frac{\text{ 75}}{\text{ 80}}\text{ = }\frac{\text{ P2}}{\text{ 300.15}} \\ \text{ cross multiply} \\ \text{ 75 }*\text{ 300.15 = P2 }*\text{ 80} \\ 22511.25\text{ = 80 P2} \\ \text{ Divide both sides by 80} \\ \text{ P2 = }\frac{\text{ 22511.25}}{\text{ 80}} \\ \text{ P2 = 281.25mmHg} \end{gathered}`