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allikatt

  • 3 years ago

If you have 400.0 mL of water at 25.00 °C and add 110.0 mL of water at 95.00 °C, what is the final temperature of the mixture?

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  1. ganeshie8
    • 3 years ago
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    use enthalpy formula \(q = m \ c\ \Delta t\)

  2. ganeshie8
    • 3 years ago
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    energy lost by hot water = energy absorbed by cool water

  3. allikatt
    • 3 years ago
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    How do you set up the entire equation though?

  4. ganeshie8
    • 3 years ago
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    .4 * c * (T-25) = -.11 * c * (T-95)

  5. ganeshie8
    • 3 years ago
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    cancel c, solve T

  6. allikatt
    • 3 years ago
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    Got it. Thanks so much!

  7. ganeshie8
    • 3 years ago
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    yw ! remember this while doing enthalpy related problems : q system = -q surroundings

  8. allikatt
    • 3 years ago
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    Actually I have one more question. Why did you use .4 and .11 instead of 400 and 110?

  9. ganeshie8
    • 3 years ago
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    yeah we can use 400 and 110 also here, it doesnt matter here

  10. ganeshie8
    • 3 years ago
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    ideally we must convert mL to grams. becoz in enthalpy equation, m represents mass in grams.

  11. ganeshie8
    • 3 years ago
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    the conversion to grams doesnt matter here since 1 mL = 1 g, for water

  12. ganeshie8
    • 3 years ago
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    the correct way of putting the equation would be : 400g * c * (T-25) = 110g * c * (T-95)

  13. allikatt
    • 3 years ago
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    I ended up getting 19.62 degrees, but it's incorrect :/

  14. ganeshie8
    • 3 years ago
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    check ur calculation again

  15. ganeshie8
    • 3 years ago
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    400g * c * (T-25) = -110g * c * (T-95) 400 * (T-25) = -110* (T-95)

  16. ganeshie8
    • 3 years ago
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    im getting 40.1

  17. allikatt
    • 3 years ago
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    That's what I got this time too. Thank you so much! I appreciate all your help.

  18. ganeshie8
    • 3 years ago
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    u getting 19.62 still ? could u show ur calculation so that i can see whats happening at ur end :)

  19. allikatt
    • 3 years ago
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    Nope, I got the correct answer this time. 40.1 degrees Celsius

  20. ganeshie8
    • 3 years ago
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    sounds great !

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