Final answer:
To find the new pressure of a gas after changing the volume and temperature, we use the combined gas law, resulting in a new pressure of approximately 3.84 atm in a 5L container at 30°C.
Step-by-step explanation:
To determine the new pressure of a gas when it is moved to a different container and the temperature is changed, we can use the combined gas law, which is:
P1 * V1 / T1 = P2 * V2 / T2
Where:
P1 and P2 are the initial and final pressures,
V1 and V2 are the initial and final volumes,
T1 and T2 are the initial and final temperatures in Kelvin.
First, we need to convert the temperatures from Celsius to Kelvin by adding 273.15:
T1 = 25°C + 273.15 = 298.15 K
T2 = 30°C + 273.15 = 303.15 K
Next, we plug the values into the combined gas law equation:
(1.6 atm * 12 L) / 298.15 K = (P2 * 5 L) / 303.15 K
Now solve for P2, the final pressure:
P2 = (1.6 atm * 12 L) / 298.15 K * (303.15 K / 5 L)
P2 = 3.84 atm°C
The new pressure of the gas in the 5L container at 30°C is approximately 3.84 atm.