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Given the volume of water and its density, we can find the mass.

Physics

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Answer

407.025 kJ\text{407.025 kJ}

Step-by-step solution

3 steps
  1. Calculate the mass of water.

    Given the volume of water and its density, we can find the mass.

    Mass of water=Volume of water×Density of water\text{Mass of water} = \text{Volume of water} \times \text{Density of water} m=450 cm3×1 g/cm3=450 gm = 450 \text{ cm}^3 \times 1 \text{ g/cm}^3 = 450 \text{ g}

    Convert the mass from grams to kilograms:

    m=450 g=0.450 kgm = 450 \text{ g} = 0.450 \text{ kg}
  2. Calculate the change in temperature of the water.

    ΔT=Final temperature−Initial temperature\Delta T = \text{Final temperature} - \text{Initial temperature} ΔT=46.5∘C−25∘C=21.5∘C\Delta T = 46.5^\circ \text{C} - 25^\circ \text{C} = 21.5^\circ \text{C}

    Since a change of 1∘C1^\circ \text{C} is equivalent to a change of 1 K1 \text{ K},

    ΔT=21.5 K\Delta T = 21.5 \text{ K}
  3. Calculate the heat evolved using the formula Q=mcΔTQ = mc\Delta T.

    Given specific heat capacity of water c=4.2 kJ/kg Kc = 4.2 \text{ kJ/kg K}.

    Q=m×c×ΔTQ = m \times c \times \Delta T Q=0.450 kg×4.2 kJ/kg K×21.5 KQ = 0.450 \text{ kg} \times 4.2 \text{ kJ/kg K} \times 21.5 \text{ K} Q=19.35 kJ×21.5Q = 19.35 \text{ kJ} \times 21.5 Q=407.025 kJQ = 407.025 \text{ kJ}

    The heat evolved during the experiment is 407.025 kJ\text{407.025 kJ}.

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