Step-by-step explanation:
1.The gas law that we will use to solve this problem is the combined gas law.
2.We will choose the combined gas law because there are three variables that are changing in this problem: volume, pressure, and temperature.
3The volume is decreasing in this problem, from 1.74 L to 1.56 L.
The unknown that we are solving for is T2, the temperature at which the balloon will have a volume of 1.56 L.
4We will use the temperature in Kelvin for our calculations. To convert from Celsius to Kelvin, we add 273.15 to the Celsius temperature. Therefore, the temperature we will use in our calculations is 293.35 K (20.2°C + 273.15).
5To find the final temperature, we can use the combined gas law equation:
(P1 x V1)/T1 = (P2 x V2)/T2
where P1 = 1.02 atm, V1 = 1.74 L, T1 = 293.35 K, P2 = 0.980 atm, and V2 = 1.56 L.
Substituting the values into the equation and solving for T2, we get:
T2 = (P2 x V2 x T1)/(P1 x V1)
= (0.980 atm x 1.56 L x 293.35 K)/(1.02 atm x 1.74 L)
= 268.06 K
Therefore, the final temperature after the volume and pressure decrease is 268.06 K, which is approximately 253 K (option A).