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Answer :

Answer: Initial volume = 18 L

Calculations:

We are given -

• Volume 1 (V1) = ?

,

• Temperature (T1) = 120K

,

• Volume 2(V2) = 45L

,

• Temperature (T2) = 300K

We can use Charles law equation to solve for initial volume :

[tex]\frac{V_1}{T_1}=\frac{V_2}{T_2}[/tex]

Replacing the given parameters into Charles law equation, we get that V1 is :

[tex]\begin{gathered} V_1=\frac{V_2}{T_2}\cdot T_1 \\ \text{ =}\frac{45L}{300K\text{ }}\cdot120K\text{ } \\ \text{ = 18L} \end{gathered}[/tex]

This means that the initial volume = 18 L