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goldenfox [79]
3 years ago
6

For the neutralization reaction involving HNO3 and Ca(OH)2, how many liters of 1.55 M HNO3 are needed to react with 45.8 mL of a

4.66 M Ca(OH)2 solution?
1. 0.137 L 2. 0.0343 L 3. 0.275 L 4. 1.32 L 5. 0.662 L 6. 0.330 L
Chemistry
2 answers:
liraira [26]3 years ago
3 0
2HNO3 + Ca(OH)2 ==> Ca(NO3)2 + 2H2O 
<span>mols Ca(OH)2 = M x L = ? </span>
<span>Using the coefficients in the balanced equation, convert mols Ca(OH)2 to mols HNO3. </span>
<span>Then M HNO3 = mols HNO3/LHNO3. You have mols and M, solve for L.</span>
NeX [460]3 years ago
3 0

Answer:

The correct answer is option 3.

Explanation:

2HNO_3(aq)+Ca(OH)_2\rightarrow Ca(NO_3)_2(aq)+2H_2O(l)

To calculate the concentration of acid, we use the equation given by neutralization reaction:

n_1M_1V_1=n_2M_2V_2

where,

n_1,M_1\text{ and }V_1 are the n-factor, molarity and volume of acid which is HNO_3

n_2,M_2\text{ and }V_2 are the n-factor, molarity and volume of base which is Ca(OH)_2.

We are given:

n_1=1\\M_1=1.55 M\\V_1=\\n_2=2\\M_2=4.66 M\\V_2=45.8 mL

Putting values in above equation, we get:

1\times 1.55 M\times V_1=2\times 4.66 M\times 45.8 mL

V_1=\frac{2\times 4.66 M\times 45.8 mL}{1\times 1.55 M}=275 mL

1 mL = 0.001 L

V_1=275\times 0.001 L=0.0.275 L

Hence, the correct answer is option 3.

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Solution :

a). Applying the energy balance,

$\Delta E_{sys}=E_{in}-E_{out}$

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$0=[mc(T_f-T_i)_{iron}] + [mc(T_f-T_i)_{water}]$

$0 = 27 \times 0.45 \times (T_f - 375) + 130 \times 4.18 \times (T_f-26)$

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b). The entropy change of iron.

$\Delta s_{iron} = mc \ln\left(\frac{T_f}{T_i} \right)$

           $ = 27 \times 0.45\ \ln\left(\frac{33.63 + 273}{375 + 273} \right)$

           = -9.09 kJ-K

Entropy change of water :

$\Delta s_{water} = mc \ \ln\left(\frac{T_f}{T_i} \right)$

           $ = 130 \times 4.18\ \ln\left(\frac{33.63 + 273}{26 + 273} \right)$

           = 10.76 kJ-K

So, the total entropy change during the process is :

$\Delta s_{tot} = \Delta s_{iron} + \Delta s_{water} $

        = -9.09 + 10.76

         = 1.67 kJ-K

c). Exergy of the combined system at initial state,

$X=(U-U_{0}) - T_0(S-S_0)+P_0(V-V_0)$

$X=mc (T-T_0) - T_0 \ mc \ \ln \left(\frac{T}{T_0} \right)+0$

$X=mc\left((T-T_0)-T_0 \ ln \left(\frac{T}{T_0} \right)\right)$

$X_{iron, i} = 27 \times 0.45\left(((375+273)-(12+273))-(12+273) \ln \frac{375+273}{12+273}\right)$

$X_{iron, i} =63.94 \ kJ$

$X_{water, i} = 130 \times 4.18\left(((26+273)-(12+273))-(12+273) \ln \frac{26+273}{12+273}\right)$

$X_{water, i} =-13.22 \ kJ$

Therefore, energy of the combined system at the initial state is

$X_{initial}=X_{iron,i} +X_{water, i}$

            = 63.94 -13.22

            = 50.72 kJ

Similarly, Exergy of the combined system at initial state,

$X=(U_f-U_{0}) - T_0(S_f-S_0)+P_0(V_f-V_0)$

$X=mc\left((T_f-T_0)-T_0 \ ln \left(\frac{T_f}{T_0} \right)\right)$

$X_{iron, f} = 27 \times 0.45\left(((33.63+273)-(12+273))-(12+273) \ln \frac{33.63+273}{12+273}\right)$

$X_{iron, f} = 216.39 \ kJ$

$X_{water, f} = 130 \times 4.18\left(((33.63+273)-(12+273))-(12+273) \ln \frac{33.63+273}{12+273}\right)$

$X_{water, f} =-9677.95\ kJ$

Thus, energy or the combined system at the final state is :

$X_{final}=X_{iron,f} +X_{water, f$

            = 216.39 - 9677.95

            = -9461.56 kJ

d). The wasted work

$X_{in} - X_{out}-X_{destroyed} = \Delta X_{sys}$

$0-X_{destroyed} = $

$X_{destroyed} = X_{initial} - X_{final}$

                = 50.72 + 9461.56

                = 9512.22 kJ

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