Concept:Use the combined gas law: T1P1V1=T2P2V2.Explanation:List the given values: P1=1atm, V1=400cm3, T1=400K, and V2=200cm3.Substitute into the combined gas law:4001×400=T2P2×200.Simplify the left side: 1=T2200P2.Rearrange to get P2T2=200.Test each option using T2=200P2.For Option C, T2=200K and P2=1atm gives 200=200×1, which is correct.The other options do not satisfy the required relation.Answer:200K and 1atm, i.e., Option C.