Final answer:
The volume of nitrogen gas required to react with 8.00 L of gas at different conditions is 2.032 L.
Step-by-step explanation:
To determine the volume of nitrogen gas required to react with 8.00 L of gas, we need to use the ideal gas law equation:
P1V1/T1 = P2V2/T2
Given:
P1 = 1.20 atm
V1 = 8.00 L
T1 = 375 K
P2 = 1.00 atm
T2 = 317 K
Solving for V2:
V2 = (P1 * V1 * T2) / (P2 * T1)
Substituting the given values:
V2 = (1.20 atm * 8.00 L * 317 K) / (1.00 atm * 375 K)
= 2.032 L
Therefore, the volume of nitrogen gas required is approximately 2.032 L.