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.

  1. 👍
  2. 👎
  3. 👁
  1. 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.

    1. 👍
    2. 👎
  2. When you are taking a bath, how many kilograms of hot water at 48oC must you mix with cold water at 12oC so that the temperature of the bath is 36oC? Assume the total mass of water (hot water + cold water) is 90kg.

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. algebra

    The number of kilograms W of water in a human body varies directly to the mass of body. A 96-kg person contains 64 kg of water. How many kilograms of water are in a 60-kg person?

  2. physics

    the resistance of a platinum resistance thermometer is 200.0 ohm at o degree centigrade and 257.6 ohm when immersed in hot bath,what is the temperature of the bath when 'alpha' for platinum is 0.00392degree centigrade inverse.

  3. Science

    Table 1: Temperature and volume data Trial Temperature (Celsius) Volume (mL) Starting Volume Room Temperature = Hot Water Trial 1 107 5.6ml Hot Water Trial 2 108.3 5.4ml Cold Water Trial 1 lo 4.4ml Cold Water Trial 2 lo 4.4ml PLOT

  4. chemistry

    A biology experiment requires the preparation of a water bath at 37.0°C (body temperature). The temperature of the cold tap water is 22.0°C, and the temperature of the hot tap water is 55.0°C. If a student starts with 70.0 g of

  1. Chemistry

    Consider a 67-g chunk of ice (∆Hfus = 6.0 kkJ/mol) in a beaker immersed in a water bath. To produce just enough heat to melt the ice, how many moles of solid NaOH (∆Hsoln = -445.1 kJ/mol) must you dissolve in the water bath?

  2. Chemistry

    a 20.94-g sample of an unknown metal is heated to 99.4 degrees Celsius in a hot water bath until thermal equilibrium is reached. The metal is quickly transferred to 100 mL of water at 22.0 degrees Celsius contained in a styrofoam

  3. o chem

    Impure acetanilide was dissolved in the required amount of hot water. The clear solution in a beaker was immediately placed in an ice-water bath, instead of being allowed to cool down slowly. What would be the result of cooling

  4. Chemistry

    A student collected H2 gas in a buret by displacing water at 22.0 °C. The buret could not be submerged deep enough in a water bath to equalize the pressure. The water level in the buret was 18.2 cm above the water level in the

  1. Phyiscs

    Please show work You decide to take a nice hot bath but discover that your thoughtless roommate has used up most of the hot water. You fill the tub with 270 kg of 30.0°C water and attempt to warm it further by pouring in 5.00 kg

  2. Chemistry Q1,3,5

    1) What would be the preferred heating device (s) in each of the following situations? a) reflux a solvent with a 56 degree Celsius boiling point b) reflux a solvent with a 110 degree Celsius boiling point c) distillation of a

  3. physics

    Abath contains 100kg of water at 60°C.Hot and cold taps are then turned on to deliver 20kg per minute each at temperatures of 70°C and 10°C respectively. How long will it be before the temperatures in the bath have dropped to

  4. chemistry

    consider a crystallization of sulfanilamide in which 10 mL of hot 95% ethyl alcohol is added to 0.10 g of impure sulfanimide. after the solid has dissolved, the solution is cooled to room temp. and then placed into an ice-water

You can view more similar questions or ask a new question.