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Naddik [55]
3 years ago
12

ViT2 = V2T, V = V2

Chemistry
1 answer:
shusha [124]3 years ago
7 0

Answer:

V₂ = 285 mL

Explanation:

Given data:

Initial volume of bag = 250 mL

Initial temperature = 19.0°C

Final temperature = 60.0°C

Final volume = ?

Solution:

The given problem will be solved by using Charles Law,

This law stated that " The volume of given amount of gas at constant pressure and constant number of moles is directly proportional to its temperature"

Mathematical relationship:

V₁/T₁  = V₂/T₂

Now we will convert the temperature into kelvin.

Initial temperature = 19.0 + 273 = 292K

Final temperature = 60.0 + 273 = 333K

Now we will put the values in formula:

V₁/T₁  = V₂/T₂

250 mL / 292K  =  V₂/ 333K

0.856 mL /K = V₂/ 333K

V₂ = 0.86×333K. mL /K

V₂ = 285 mL

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Determine the [OH−] of a solution that is 0.115 M in CO32−. For carbonic acid (H2CO3), Ka1=4.3×10−7 and Ka2=5.6×10−11.
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Answer:

[OH⁻] = 4.3 x 10⁻¹¹M in OH⁻ ions.

Explanation:

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Analysis:

            H₂CO₃(aq)     ⇄     H⁺(aq)    +    HCO₃⁻(aq); Ka(1) = 4.3 x 10⁻⁷

C(i)          0.115M                      0                  0

ΔC              -x                        +x                  +x

C(eq)    0.115M - x                   x                    x

            ≅ 0.115M

Ka(1) = [H⁺(aq)][HCO₃⁻(aq)]/[H₂CO₃(aq)] = [(x)(x)/(0.115)]M = [x²/0.115]M

= 4.3 x 10⁻⁷  => x = [H⁺(aq)]₁ = SqrRt(4.3 x 10⁻⁷ · 0.115)M = 2.32 x 10⁻⁴M in H⁺ ions.

In general, it is assumed that all of the hydronium ion comes from the 1st ionization step as adding 10⁻¹¹ to 10⁻⁷ would be an insignificant change in H⁺ ion concentration. Therefore, using 2.32 x 10⁻⁴M in H⁺ ion  concentration, the hydroxide ion concentration is then calculated from

[H⁺][OH⁻] = Kw => [OH⁻] = (1 x 10⁻¹⁴/2.32 x 10⁻⁴)M = 4.3 x 10⁻¹¹M in OH⁻ ions.

________________________________________________________

NOTE: The 2.32 x 10⁻⁴M  value for [H⁺] is reasonable for carbonic acid solution with pH ≅ 3.5 - 4.0.

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