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chubhunter [2.5K]
3 years ago
15

The reaction of HCl with NaOH is represented by the equation HCl( aq) + NaOH( aq) ® NaCl( aq) + H 2O( l) What volume of 0.631 M

HCl is required to titrate 15.8 mL of 0.321 M NaOH?
Chemistry
1 answer:
Darina [25.2K]3 years ago
5 0

8.04 mL.

<h3>Explanation</h3>

How many moles of NaOH?

Note the unit:

V = 15.8 \; \textbf{mL} = \dfrac{15.8}{1000}\;\textbf{L} = 0.0158 \; \text{L}.

n = c\cdot V = 0.0158 \times0.321 = 0.00507\;\text{mol}.

How many moles of HCl?

As seen in the equation, HCl and NaOH reacts at a 1:1 ratio.

n(\text{HCl}) = n(\text{NaOH}) = 0.00507\;\text{mol}.

How many mL of HCl?

V = \dfrac{n}{c} =\dfrac{0.00507}{0.631} = 0.00804\;\text{L} = 0.00804\times 1000 \;\textbf{mL} = 8.04\;\text{mL}.

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The isotope 90_Sr has a half-life of 28.8 years. What is the activity, measured in atoms/second of a 50 mg sample of "Sr? (10 pt
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Answer:

2.5523\times 10^{11} atoms/secondsis the activity, measured in of a 50 mg sample of 90-Sr.

Explanation:

Half life of the 90-Sr ,t_{1/2}= 28.8 years

Activity coefficient of the 90-Sr = \lambda

\lambda =\frac{0.693}{28.8 years}=0.0240625 year^{-1}

Mass of 90-Sr = 50 mg = 0.050 g

Molecular mass of 90-Sr = 90 g/mol

Moles of 90-Sr =\frac{0.050 g}{90 g/mol}=0.0005555 mol

Number of atom in 0.0005555 moles of 90-Sr:

0.0005555 mol\times 6.022\times 10^{23} mol^{-1}=3.3455\times 10^{20} atoms

\lambda =0.0240625 year^{-1}=\frac{0.0240625}{3.154\times 10^7 s}=7.6292\times 10^{-10} s^{-1}

1 year = 3.154\times 10^7 seconds

Activity measured in atoms per seconds:

= Number of atoms × \lambda

=3.3455\times 10^{20} atoms\times 7.6292\times 10^{-10} s^{-1}

=2.5523\times 10^{11} atoms/s

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3 years ago
What is the average density of the Earth's inner core?
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In the reaction of 6 moles of CH4 with excess oxygen, how many moles of water could be produced? A. 4 B. 6 C. 8 D. 12
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What is the quantity of heat (in kJ) associated with cooling 185.5 g of water from 25.60°C to ice at -10.70°C?Heat Capacity of S
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Taking into account the definition of calorimetry, sensible heat and latent heat,  the amount of heat required is 37.88 kJ.

<h3>Calorimetry</h3>

Calorimetry is the measurement and calculation of the amounts of heat exchanged by a body or a system.

<h3>Sensible heat</h3>

Sensible heat is defined as the amount of heat that a body absorbs or releases without any changes in its physical state (phase change).

<h3>Latent heat</h3>

Latent heat is defined as the energy required by a quantity of substance to change state.

When this change consists of changing from a solid to a liquid phase, it is called heat of fusion and when the change occurs from a liquid to a gaseous state, it is called heat of vaporization.

  • <u><em>25.60 °C to 0 °C</em></u>

First of all, you should know that the freezing point of water is 0°C. That is, at 0°C, water freezes and turns into ice.

So, you must lower the temperature from 25.60°C (in liquid state) to 0°C, in order to supply heat without changing state (sensible heat).

The amount of heat a body receives or transmits is determined by:

Q = c× m× ΔT

where Q is the heat exchanged by a body of mass m, made up of a specific heat substance c and where ΔT is the temperature variation.

In this case, you know:

  • c= Heat Capacity of Liquid= 4.184 \frac{J}{gC}
  • m= 185.5 g
  • ΔT= Tfinal - Tinitial= 0 °C - 25.60 °C= - 25.6 °C

Replacing:

Q1= 4.184 \frac{J}{gC}× 185.5 g× (- 25.6 °C)

Solving:

<u><em>Q1= -19,868.98 J</em></u>

  • <u><em>Change of state</em></u>

The heat Q that is necessary to provide for a mass m of a certain substance to change phase is equal to

Q = m×L

where L is called the latent heat of the substance and depends on the type of phase change.

In this case, you know:

n= 185.5 grams× \frac{1mol}{18 grams}= 10.30 moles, where 18 \frac{g}{mol} is the molar mass of water, that is, the amount of mass that a substance contains in one mole.

ΔHfus= 6.01 \frac{kJ}{mol}

Replacing:

Q2= 10.30 moles×6.01 \frac{kJ}{mol}

Solving:

<u><em>Q2=61.903 kJ= 61,903 J</em></u>

  • <u><em>0 °C to -10.70 °C</em></u>

Similar to sensible heat previously calculated, you know:

  • c = Heat Capacity of Solid = 2.092 \frac{J}{gC}
  • m= 185.5 g
  • ΔT= Tfinal - Tinitial= -10.70 °C - 0 °C= -10.70 °C

Replacing:

Q3= 2.092 \frac{J}{gC} × 185.5 g× (-10.70) °C

Solving:

<u><em>Q3= -4,152.3062 J</em></u>

<h3>Total heat required</h3>

The total heat required is calculated as:  

Total heat required= Q1 + Q2 +Q3

Total heat required=-19,868.98 J + 61,903 J -4,152.3062 J

<u><em>Total heat required= 37,881.7138 J= 37.8817138 kJ= 37.88 kJ</em></u>

In summary, the amount of heat required is 37.88 kJ.

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