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Sedbober [7]
3 years ago
5

A 10 gram sample of water is heated to 105 ℃ and is mixed with a 25 gram sample of water cooled to 25℃ . What is the final tempe

rature of the water mixture?
Chemistry
1 answer:
lesya692 [45]3 years ago
8 0

Answer:

The final temperature of the water mixture is 47.85°C

Explanation :

Given,

For Warm Water

mass = 10grams

Temperature = 105°C

For Cold Water

mass = 25grams

Temperature = 25°C

When a sample of warm water is mixed with a sample of cool water,

The energy amount going out of the warm water is equal to the energy amount going into the cool water. This means:

<h3>Qlost = Qgain</h3>

However,

Q = (mass) (ΔT) (Cp)

Cp = Specific heat of water = 4.184 J/Kg°C

So,

(mass) (ΔT) (Cp) = (mass) (ΔT) (Cp)

We start by calling the final, ending temperature 'x.' Keep in mind that BOTH water samples will wind up at the temperature we are calling 'x.' Also, make sure you understand that the 'x' we are using is FINAL temperature. This is what we are solving for.  

The warmer water goes down from to 105°C to x, so this means its Δt equals 105°C − x. The colder water goes up in temperature, so its Δt equals x − 25℃

Substituting the values,

(10)( 105°C − x)(4.184) = (25)(x − 25℃)(4.184)

Solving for x, we get

x = 47.85°C

Therefore, The final temperature of the water mixture is 47.85°C.

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A chemist prepares a solution of ironIII chloride FeCl3 by measuring out 72.7mg of FeCl3 into a 100.mL volumetric flask and fill
dalvyx [7]

<u>Answer:</u> The molarity of chloride anions in the solution is 0.01344 M

<u>Explanation:</u>

To calculate the molarity of solution, we use the equation:

\text{Molarity of the solution}=\frac{\text{Mass of solute}\times 1000}{\text{Molar mass of solute}\times \text{Volume of solution (in mL)}}

Given mass of ferric chloride = 72.7 mg = 0.0727 g    (Conversion factor:  1 g = 1000 mg)

Molar mass of ferric chloride = 162.2 g/mol

Volume of solution = 100 mL

Putting values in above equation, we get:

\text{Molarity of solution}=\frac{0.0727\times 1000}{162.2\times 100}\\\\\text{Molarity of solution}=0.00448M

1 mole of ferric chloride contains 1 mole of Fe^{3+} ions and 3 moles of Cl^- ions

Moles of Cl^- = (3 × 0.00448) = 0.01344 M

Hence, the molarity of chloride anions in the solution is 0.01344 M

3 0
3 years ago
Combustion of a 0.9835-g sample of a compound containing only carbon, hydrogen, and oxygen produced 1.900 g of co2 and 1.070 g o
Colt1911 [192]
Find grams of C and H, using molar masses: 
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2.02 g H  x  (1.070 g H2O /18 g H2O) = 0.1201 grams H 

Since all the C and H in CO2 and H2O will come from the sample except oxygen, because we need to provide oxygen for sample to burn.

0.9835 g sample - 0.5182 g O - 0.1201 g H = 0.3452 grams O 


find moles, using molar masses: 
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0.1201 grams H / 1.01 g/mol H = 0.119 moles H 
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0.0216 is lesser, so use it to normalize to find the ratio.
find ratios: 
0.0432 moles C / 0.0216 = 2 moles C 
0.119 moles H / 0.0216 = 5.5 moles H 
0.0216 moles O / 0.0216 = 1 mole O 


so, the ratio is C2 H{5.5} O1
double the ration to eliminate decimals.
 
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5 0
3 years ago
A student prepares a aqueous solution of acetic acid . Calculate the fraction of acetic acid that is in the dissociated form in
erma4kov [3.2K]

Answer:

10.71%

Explanation:

The dissociation of acetic acid can be well expressed as follow:

CH₃COOH ⇄   CH₃COO⁻  + H⁺

Let assume that the prepared amount of the aqueous solution is 14mM since it is not given:

Then:

The I.C.E Table is expressed as follows:

                     CH₃COOH       ⇄   CH₃COO⁻        +           H⁺  

Initial              0.0014                       0                                0

Change            - x                           +x                               +x

Equilibrium   (0.0014 - x)                 x                                 x

Recall that:

Ka for acetic acid CH₃COOH  = 1.8×10⁻⁵

∴

K_a = \dfrac{[x][x]]}{[0.0014-x]}

1.8*10^{-5} = \dfrac{[x][x]]}{[0.0014-x]}

1.8*10^{-5} = \dfrac{[x]^2}{[0.0014-x]}

1.8*10^{-5}(0.0014-x) = x^2

2.52*10^{-8} -1.8*10^{-5}x = x^2

2.52*10^{-8} -1.8*10^{-5}x - x^2 =0

By rearrangement:

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x^2 +1.8*10^{-5}x-2.52*10^{-8}= 0

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CH₃COOH = (0.0014 - 0.00015) = 0.00125

However, the percentage fraction of the dissociated acetic acid is:

= \dfrac{ 0.00015}{0.0014}\times 100

= 10.71%

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3 years ago
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