The gas must be heated to a final temperature of 137°C in order to fill a volume of 557 ml.
Given,
V₁= 371ml
V₂ = 557 ml
T₁ = 0°C or 273 K
The final gas temperature that has to be heated must be determined.
As long as the cylinder is free to move, the pressure is always 1 atm, or equal to the external pressure.
Consequently, by using Charles Law, we obtain
V₁ / T₁ = V₂ / T₂
where starting and ultimate volumes V1 and V2, respectively
T1 and T2 are beginning and ultimate temperatures, respectively (in Kelvin).
the ultimate temperature is as a result
T₂ = V₂ × T₁ / V₁
Or, T₂ = 557 x (0+273) / 371
Or, T₂ = 410 K
Or, T₂ = 137°C
As a result, the temperature is 137°C at the end.
To learn more about Charle's law from given link
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