1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: Camp stove calorimetry

  1. Nov 26, 2014 #1
    1. The problem statement, all variables and given/known data
    The Pacific Crest Trail stretches from Mexico to Canada through the mountains of California, Oregon and Washington. Hikers on this trail must carefully estimate the amount of fuel they will need. They will typically carry a small camp stove which produces 700 J/s of heat (this is heat added to the food, extra heat is needed to heat the pan, stove, air, and ground, but we will ignore that) and which burns 0.15ℓ/h of fuel.

    A)If the initial water temperature is 10◦C, how much time is required to bring 5ℓ of water to boiling temperature?

    B)How much time will be required to melt 5 kg of ice which has an initial temperature of -5◦C? The final temperature will be 0◦C.

    C)Water found in mountain streams is often boiled for 10 min to make sure that it is safe to drink. If the camp stove is used to boil 5ℓ of water for 10 min, how much water is vaporized?

    2. Relevant equations
    dQ = mcdT

    3. The attempt at a solution
    A) first i want 5 liters of water in kg
    5 liters = 5E-3 m^3
    d = m/v d for water = 1000kg/m^3
    1000 = m /5E-3
    m = .005(1000) = 5 kg
    now use Q = mcdeltaT to find heat needed
    where c the specific heat of water = 4186 J/kgC and the boiling temp of water = 100C
    Q = mcdeltaT = (5kg) (4186 J/kgC) (100 C- 10 C) = 1883700 J
    the stove burns 700J/s so
    1883700J (s/700 J) = 2691 s to bring the water to boiling temp

    B) heat of fusion of water/ice = 3.33E5 J/kg = L
    specific heat of ice 2100 J/kgC
    we need the heat to bring the water to 0C + heat to melt water
    mcdeltaT + mL
    5kg(2100 J/kgC) (0 - (-5 C)) + 5kg (3.33E5 J/kg)
    = 5(2100)(5)J + 5(3.33E5)J = 1717500 J
    which takes
    1717500 J (s/700 J) = 2454 s

    C) 10 min = 600 s. stove burns 700 J/s so
    (700 J/s)(600 s) = 420000 J of heat are used
    heat of vaporization for water L = 22.6E5 J/kg
    the problem doesnt give a starting temp so i will assume 10 C
    the stove will bring the water to 100C and then will vaporize some of it
    let m be the total mass of water and let x be mass vaporized
    Q = mcdeltaT + xL
    420000 J = (5kg)(4186 J/kgC)(100 C -10 C) + x(22.6E5 J/kg)
    420000 J = 1883700 J + x(22.6E5 J/kg)
    -14636700 J = x (22.6E5 J/kg)
    x = -.65 kg
    it came out negative so no water would end up being vaporized? this is the part I am not so sure I did correctly
  2. jcsd
  3. Nov 26, 2014 #2


    User Avatar
    Science Advisor
    Homework Helper
    Gold Member

    It doesn't say 'bring to the boil and boil for 10 minutes', so I think you should take it to be already at the boil at the start of the 10 mins.
  4. Nov 26, 2014 #3
    I thought that at first but then i thought i was wrong because wouldnt the set up be
    Q = mL
    but i already have Q and they give us 5liters which means m = 5kg and we know L also
  5. Nov 26, 2014 #4


    User Avatar
    Science Advisor
    Homework Helper
    Gold Member

    Depends what you mean by m. You wrote, correctly:
    All I'm saying is deltaT =0.
  6. Nov 26, 2014 #5
    oh wow. they slipped that 5 liters in there as an almost red herring.
    Q = xL
    420000 J= x (22.6E5 J/kg)
    x = .19 kg
    thank you
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted

Similar Threads for Camp stove calorimetry
Calorimetry hot shower Problem