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Answer: The volume is 57.52 mL if the temperature if raised to 343K.
Explanation:
Given: [tex]V_{1}[/tex] = 27 mL, [tex]T_{1}[/tex] = 161 K
[tex]V_{2}[/tex] = ?, [tex]T_{2}[/tex] = 343 K
According to Charles law, at constant pressure the volume of an ideal gas is directly proportional to temperature.
Formula used is as follows.
[tex]\frac{V_{1}}{T_{1}} = \frac{V_{2}}{T_{2}}\\\frac{27 mL}{161 K} = \frac{V_{2}}{343 K}\\V_{2} = 57.52 mL[/tex]
Thus, we can conclude that volume is 57.52 mL if the temperature if raised to 343K.