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general physics

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When you take a bath, how many kilograms of hot water (40.8 °C) must you mix with cold water (11.3 °C) so that the temperature of the bath is 30.9 °C? The total mass of water (hot plus cold) is 190 kg. Ignore any heat flow between the water and its external surroundings.

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    Q₁=m₁cΔT₁
    Q₂=m₂cΔT₂
    m₁cΔT₁=m₂cΔT₂
    m₁ΔT₁=m₂ΔT₂
    m₁ΔT₁=m₂ΔT₂
    m (40.8 -30.9)=(190-m)(30.9-11.3)
    Solve for ‘m’

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