Answer:
[tex]V_2\text{ = 149 L}[/tex]
Explanation:
Here, we want to get the missing volume
From Charles' law, we know that volume and temperature are directly proportional at constant pressure
Mathematically, we know that:
[tex]\frac{V_1}{T_1}=\frac{V_2}{T_2}_{}[/tex]
We have to rewrite the formula in terms of the missing value as follows:
[tex]V_2\text{ = }\frac{V_1T_2}{T_1}[/tex]
Before we proceed to input the values, we have to convert the temperatures in celsius to kelvin by adding 273.15 K to the celsius temperature
Thus, we have it that:
[tex]\begin{gathered} V_1\text{ = 112L} \\ V_2\text{ = ?} \\ T_1\text{ = 10.2 + 273.15 = 283.35 K} \\ T_2\text{ = 106.1 + 273.15 = 379.25 K} \end{gathered}[/tex]
We can now proceed to substitute these values into the rewritten formula as follows:
[tex]V_2\text{ = }\frac{112\times379.25}{283.35}\text{ = 149 L}[/tex]
