Final answer:
Using Boyle's Law, the moles of gas in the contracted container were calculated to be 1.5 moles when the volume decreased from 20.0L to 8.0L while keeping pressure and temperature constant.
Step-by-step explanation:
The problem given is related to gas laws, specifically to Boyle's Law which states that pressure and volume are inversely proportional to each other when the temperature and the number of moles of gas remain constant. Since in this scenario, the pressure and temperature are unchanged, but the volume changes from 20.0L to 8.0L, we can use Boyle's Law to determine the number of moles of gas in the contracted container.
The initial condition has 3.75 moles of gas in a 20.0L volume. When the volume decreases to 8.0L and since the number of moles is directly proportional to the volume at constant temperature and pressure, you can calculate the number of moles in the contracted container using the ratio:
Initial moles / Initial volume = Final moles / Final volume
3.75 moles / 20.0L = x moles / 8.0L
Solving for x, which represents the final moles of gas:
x = (3.75 moles * 8.0L) / 20.0L
x = 1.5 moles
Therefore, there are 1.5 moles of gas in the contracted 8.0L container.