chemistry

100 mL of is initially at room temperature (22)C. A chilled steel rod at 2 C is placed in the water. If the final temperature of the system is 21.2 C, what is the mass of the steel bar?
Specific heat of water = 4.18J/g(C)
Specific heat of steel = 0.452J/g(C)

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asked by Lilit
  1. heat lost by water = heat gained by steel

    (m Cp dT) water = (m Cp dT) steel

    mass steel = (m Cp dT) water / (Cp dT) steel
    mass steel = (125 g) x (4.18 J/gC) x (22.0-21.1 C) / [(0.452 J/gC) x (21.1 - 2.0 C)] = 54.5 g steel

    *** 2 ***
    molar heat capacity is J/mole C not J/gC

    4.18 J/gC x (18.0 g / mole) = 75.2 J/moleC

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    posted by Sara
  2. mass of the steel is not 54.5 g.
    I inputed the answer it didn't work. can you please help me

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    posted by Lilit
  3. 54.5 g steel doesnt work i inputed the answer it was incorrect

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    posted by Lilit
  4. heat lost by water + heat gained by steel = 0
    massH2O x specificheatH2O x (Tf-Ti) + masssteel x specificheatsteel x (Tf-Ti) = 0
    100 x 4.18 x (21.2-22) + masssteel x 0.452 x (21.2-2) = 0
    Solve for mass steel. I get about 40 g but you need to solve it exactly. Watch the signs. Post your work if you get stuck. Tf is final T. Ti is initial T.

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  5. the answer is 42.4

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    posted by Anita
  6. It would 24.9 grams
    (105.5g)(0.5°C)(4.184J)=x(19.5)(0.452)

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    posted by Halkene
  7. The answer with 3 sig figs and units is 43.6 g

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    posted by MWS
  8. 38.9

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  9. I pooped my pants :(

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    posted by Joey

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