Answer :
Final answer:
To find the new pressure of the oxygen gas, we use the combined gas law and plug in the known values to calculate a new pressure of 97.5 kPa.
Explanation:
To find the new pressure of the gas using the initial and final conditions provided, we will apply the combined gas law. This law relates the pressure, volume, and temperature of a fixed amount of gas. The combined gas law formula is given as (P1 * V1) / T1 = (P2 * V2) / T2, where P1 and P2 are the initial and final pressures, V1 and V2 the initial and final volumes, and T1 and T2 are the initial and final temperatures in Kelvin.
We have the initial conditions: P1 = 99.3 kPa, V1 = 285 mL, T1 = 15°C (which is 288.15 K after conversion from Celsius to Kelvin).
The final conditions are V2 = 292 mL, T2 = 11°C (which is 284.15 K after conversion).
Let's rearrange the combined gas law to solve for P2:
P2 = (P1 * V1 * T2) / (T1 * V2)
By substituting the known values and calculating, we get:
P2 = (99.3 kPa * 285 mL * 284.15 K) / (288.15 K * 292 mL) = 97.5 kPa
Therefore, the new pressure of the gas is 97.5 kPa.
