Final answer:
To find the new temperature of the gas in Kelvin, the initial temperature in Celsius was first converted to Kelvin. Then, the combined gas law formula was used to calculate the new temperature, which is approximately 474.68 Kelvin.
Step-by-step explanation:
The student is asking to calculate the new temperature of a bromine gas in Kelvin after the gas has undergone a change in volume and pressure. According to Charles's law, which states that at constant pressure, the volume of a fixed amount of gas is directly proportional to its temperature in Kelvin.
We first need to convert the initial temperature of the gas from degrees Celsius to Kelvin. The formula to convert Celsius to Kelvin is:
T(K) = T(°C) + 273
Therefore, the initial temperature of 67°C in Kelvin is:
67°C + 273 = 340 K
We can then use the combined gas law which is expressed as:
(P1 * V1) / T1 = (P2 * V2) / T2
By rearranging the formula to solve for T2, we get:
T2 = (P2 * V2 * T1) / (P1 * V1)
Substitute the known values:
T2 = (8 atm * 100 L * 340 K) / (5.6 atm * 97 L)
T2 ≈ 474.68 K
So, the new temperature of the gas is approximately 474.68 Kelvin, rounded to the nearest hundredths place.