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  • Ideal Gas Volume and Molecular Number: A Constant Pressure Analysis
    According to Boyle's law the volume of an ideal gas is inversely with its pressure if the temperature is kept constant. Mathematically, this can be expressed as:

    $$P_1V_1 = P_2V_2 $$

    Where:

    - $$P_1$$ and $$V_1$$ are the initial pressure and volume of the gas.

    - $$P_2$$ and $$V_2$$ are the final pressure and volume of the gas.

    If we consider the situation where the pressure remains constant, $$P_1 = P_2$$, then the equation can be rearranged to show the relationship between volume and the number of molecules:

    $$V_1/n_1 = V_2/n_2$$

    Where:

    - $$n_1$$ and $$n_2$$ are the initial and final number of molecules of the gas.

    This equation indicates that the volume of an ideal gas at constant pressure and temperature is directly proportional to the number of molecules.

    - In simpler terms, as the number of molecules in an ideal gas increases, its volume will also increase while both the pressure and the temperature remain constant.

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