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29 November, 23:06

3.4 moles of solid CuSO4 is added to 1.8 L of water and allowed to dissolve. Will all the solid dissolve?

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  1. 29 November, 23:20
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    Yes, all the solid will dissolve.

    Explanation:

    To solve this problem we will first find the solubility of CuSO₄ at given temperature (in this case we will assume the temperature to be 20 °C. According to reported data 37.8 g of CuSO₄ can be dissolved in 100 ml of H2O at 20 °C.

    While we are provided with moles of CuSO₄ and volume is given in Liters. So, we will convert moles to mass as,

    Mass = Moles * Molar Mass

    Mass = 3.4 mol * 159.60 g/mol

    Mass = 542.64 g

    Secondly, we will convert Liters to milliliters as,

    Milliliters = Liters * 1000

    Milliliters = 1.8 * 1000

    Milliliters = 1800 ml

    Therefore,

    According to reference data,

    37.8 g CuSO₄ dissolves in = 100 ml of water

    So,

    542.64 g CuSO₄ will dissolve in = X ml of water

    Solving for X,

    X = 542.64 g * 100 ml / 37.8 g

    X = 1435.55 ml of Water

    This means that we are provided with greater amount of water (i. e. 1800 m). Hence, the given amount of CuSO₄ will completely dissolve in 1.8 L of water and the solution formed is unsaturated and can dissolve further CuSO₄.
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