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Leviafan [203]
3 years ago
8

Write the equilibrium constant expression for the following reaction in terms of concentrations of the components. (Concentratio

n equilibrium expressions take the general form: Kc = [C]c / [A]a . [B]b. Subscripts and superscripts that include letters must be enclosed in braces {}.) MgCO3(s) equilibrium reaction arrow MgO(s) + CO2(g)
Chemistry
1 answer:
timofeeve [1]3 years ago
4 0

<u>Answer:</u> The expression for equilibrium constant in terms of concentration is K_c=[CO_2]

<u>Explanation:</u>

Equilibrium constant in terms of concentration is defined as the ratio of concentration of products to the concentration of reactants each raised to the power their stoichiometric coefficients. It is represented by K_{c}

For a general chemical reaction:

aA+bB\rightarrow cC+dD

The K_{c} is written as:

K_{c}=\frac{[C]^c[D]^d}{[A]^a[B]^b}

The concentration of pure solids and pure liquids are taken as 1.

For the given chemical reaction:

MgCO_3(s)\rightarrow MgO(s)+CO_2(g)

The expression for K_{c} is:

K_{c}=\frac{[MgO][CO_2]}{[MgCO_3]}

In the above expression, magnesium oxide and magnesium carbonate will not appear because they are present in solid state.

So, the expression for K_c becomes:

K_{c}=[CO_2]

Hence, the equilibrium constant for the reaction is given above.

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Answer : The number of moles of CaC_2 reacted was, 0.214 moles.

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First we have to calculate the mole of C_2H_2 gas.

Using ideal gas equation:

PV=nRT

where,

P = Pressure of C_2H_2 gas = 748 mmHg - 23.8 mHg = 724.2 mmHg = 0.953 atm   (1 atm = 760 mmHg)

V = Volume of C_2H_2 gas = 5.50 L

n = number of moles C_2H_2 = ?

R = Gas constant = 0.0821L.atm/mol.K

T = Temperature of C_2H_2 gas = 25^oC=273+25=298K

Putting values in above equation, we get:

0.953atm\times 5.50L=n\times (0.0821L.atm/mol.K)\times 298K

n=0.214mol

Now we have to calculate the moles of CaC_2

The balanced chemical reaction is:

CaC_2(s)+2H_2O(l)\rightarrow C_2H_2(g)+Ca(OH)_2(aq)

From the balanced chemical reaction we conclude that,

As, 1 mole of C_2H_2 gas produced from 1 mole of CaC_2

So, 0.214 mole of C_2H_2 gas produced from 0.214 mole of CaC_2

Therefore, the number of moles of CaC_2 reacted was, 0.214 moles.

4 0
3 years ago
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