Answer
The final temperature in Ā°C = 166.6 Ā°C.
Explanation
Given:
Initial temperature, Tā = 20.0 Ā°C
Initial volume, Vā = 10.0 L
Final volume, Vā = 15.0 L
What to find:
The final temperature in Ā°C.
Step-by-step solution:
Since is held under isobaric conditions i.e constant pressure, the final temperature can be determined using the Charle's law equation below.
[tex]\begin{gathered} \frac{V_1}{T_1}=\frac{V_2}{T_2} \\ \\ \Rightarrow T_2=\frac{T_1V_2}{V_1} \end{gathered}[/tex]Plugging Tā = (20.0 + 273.15) = 293.15 K, Vā = 10.0 L and Vā = 15.0 L into the equation, we have
[tex]T_2=\frac{293.15\text{ }K\times15.0\text{ }L}{10.0\text{ }L}=439.725K[/tex]The final step is to convert the temperature from Kelvin to Ā°C.
The final temperature = (439.725 - 273.15) = 166.6 Ā°C.
