Answer :
Final answer:
To calculate the final volume of the gas when warmed from 26 0C to 87 0C, we first convert the temperatures to Kelvin and then apply Charles's Law. The final volume of the gas, after doing the calculations, is approximately 55.99 mL.
Explanation:
The relationship between gas volume and temperature, described by Charles's Law in Chemistry.
Charles's Law states that, at constant pressure, the volume of a gas is directly proportional to its absolute temperature (measured in Kelvins).
To find the final volume of the gas at 87 0C.
We first convert the temperatures from Celsius to Kelvin (T1 = 26 0C + 273 = 299 K; T2 = 87 0C + 273 = 360 K) and then use the formula V2 = V1 imes (T2/T1).
Where V1 is the initial volume and T2 and T1 are the final and initial temperatures, respectively.
Substituting the given values into the formula:
- V1 = 46.5 mL
- T1 = 299 K
- T2 = 360 K
V2 = 46.5 mL imes (360 K / 299 K) = 46.5 mL imes 1.204 = 55.99 mL
Therefore, the final volume of the gas at the final temperature of 87 0C is approximately 55.99 mL.