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When you take a bath, how many kilograms of hot water (48°C) must you mix with cold water (13°C) so that the temperature of the bath is 36°C? The total mass of water (hot plus cold) is 185 kg. Ignore any heat flow between the water and its external surroundings.

  • physics -

    Call mass hot water H.
    Then mass cold water is 185-H.
    H*specific heat water x (Tfinal-Tinitial) + (185-H)*specific heat water x (Tfinal-Tinitial) = 0
    Solve for H and C.
    Check my thinking. Post your work if you get stuck.

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