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Ten dm^(3) of hydrogen under 1 bar press...

Ten `dm^(3)` of hydrogen under 1 bar pressure are contained in a cylinder which has a movable piston. The piston is moved in until the same mass of gas occupies `2 dm^(3)` at the same temperature. Find the pressure in the cylinder.

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To solve the problem step by step, we will use Boyle's Law, which states that for a given mass of gas at constant temperature, the product of pressure and volume is constant. This can be expressed mathematically as: \[ P_1 V_1 = P_2 V_2 \] ### Step 1: Identify the given values - Initial pressure, \( P_1 = 1 \, \text{bar} \) - Initial volume, \( V_1 = 10 \, \text{dm}^3 \) - Final volume, \( V_2 = 2 \, \text{dm}^3 \) ...
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