Question

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 1

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";

        $\frac{V1}{T1} = \frac{V2}{T2}$  

V and T are volume and temperature values

1 and 2 are initial and final states

 Now insert the parameters and solve;

      $\frac{49.7}{293}$   = $\frac{V2}{365}$  

        V2  = 61.9mL