According to Boyle's law, the pressure and volume of a gas have an inverse relationship when temperature is held constant. So, P1V1 = P2V2. Here, P1 = 1 bar, V1 = 500 dm^3, and V2 = 200 dm^3. We need to find P2. So, P2 = P1V1/V2 = 1 bar * 500 dm^3 / 200 dm^3 = 2.5
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