WAEC 2025

If a gas occupies a volume of 400cm\(^3\) at a temperature of 400K and a pressure of 1 atm, at what temperature and pressure would its volume be 200cm\(^3\)?

A800 K and 1 atm
B800 k and 0.5 atm
C200 k and 1 atm
D200 k and 0.5 atm

Explanation

Using the general gas law equation (P1 * V1) / T1 = (P2 * V2) / T2: (1 atm * 400 cm³) / 400 K = (P2 * 200 cm³) / T2, which simplifies to T2 = 200 * P2. Substituting Option C (T2 = 200 K and P2 = 1 atm) satisfies the equation: 200 = 200 * 1.

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