A 49.7 mL sample of gas in the cylinder is warm from 20°C to 92°C. What is the volume of the final temperature

Answer:
61.9mL
Explanation:
Given parameters:
Initial volume = 49.7mL
Initial temperature = 20°C = 293K
Final temperature = 92°C = 365K
Unknown:
Final volume = ?
Solution:
To solve this problem, we simply apply the Charles's law which states that "the volume of a fixed mass of a gas varies directly as it absolute temperature if the pressure is constant";
[tex]\frac{V1}{T1} = \frac{V2}{T2}[/tex]
V and T are volume and temperature values
1 and 2 are initial and final states
Now insert the parameters and solve;
[tex]\frac{49.7}{293}[/tex] = [tex]\frac{V2}{365}[/tex]
V2 = 61.9mL