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pentagon [3]
3 years ago
14

Calcium hypochlorite, Ca(OCl)2, is a bleaching agent produced from sodium hydroxide, calcium hydroxide, and chlorine. Socium chl

oride and water are also produced in the reaction. What is the missing coefficient that will balance the chemical equation? ___NaOH + Ca(OH)2 + 2Cl2 → Ca(OCl)2 + 2NaCl + 2H2O a.1 b.4 c.2 d.3
Chemistry
1 answer:
bija089 [108]3 years ago
6 0

Answer:  The missing coefficient is 2.

Explanation:

According to the law of conservation of mass, mass can neither be created nor be destroyed. Thus the mass of products has to be equal to the mass of reactants. The number of atoms of each element has to be same on reactant and product side. Thus chemical equations are balanced.

2NaOH+Ca(OH)_2+2Cl_2\rightarrow Ca(OCl)_2+2NaCl+2H_2O

As in the products, there are 2 atoms of sodium, thus there will be 2 atoms of  of sodium in the reactant as well.  This will balance the number of hydrogen and oxygen atoms as well.

Thus the missing coefficient is 2.

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Calculate the mass of methane that must be burned to provide enough heat to convert 242.0 g of water at 26.0°C into steam at 101
Anarel [89]

<u>Answer:</u> The mass of methane burned is 12.4 grams.

<u>Explanation:</u>

The chemical equation for the combustion of methane follows:

CH_4(g)+2O_2(g)\rightarrow CO_2(g)+2H_2O(g)

The equation for the enthalpy change of the above reaction is:

\Delta H^o_{rxn}=[(1\times \Delta H^o_f_{(CO_2(g))})+(2\times \Delta H^o_f_{(H_2O(g))})]-[(1\times \Delta H^o_f_{(CH_4(g))})+(2\times \Delta H^o_f_{(O_2(g))})]

We are given:

\Delta H^o_f_{(H_2O(g))}=-241.82kJ/mol\\\Delta H^o_f_{(CO_2(g))}=-393.51kJ/mol\\\Delta H^o_f_{(CH_4(g))}=-74.81kJ/mol\\\Delta H^o_f_{O_2}=0kJ/mol

Putting values in above equation, we get:

\Delta H^o_{rxn}=[(1\times (-393.51))+(2\times (-241.82))]-[(1\times (-74.81))+(2\times (0))]\\\\\Delta H^o_{rxn}=-802.34kJ

The heat calculated above is the heat released for 1 mole of methane.

The process involved in this problem are:

(1):H_2O(l)(26^oC)\rightarrow H_2O(l)(100^oC)\\\\(2):H_2O(l)(100^oC)\rightarrow H_2O(g)(100^oC)\\\\(3):H_2O(g)(100^oC)\rightarrow H_2O(g)(101^oC)

Now, we calculate the amount of heat released or absorbed in all the processes.

  • <u>For process 1:</u>

q_1=mC_p,l\times (T_2-T_1)

where,

q_1 = amount of heat absorbed = ?

m = mass of water = 242.0 g

C_{p,l} = specific heat of water = 4.18 J/g°C

T_2 = final temperature = 100^oC

T_1 = initial temperature = 26^oC

Putting all the values in above equation, we get:

q_1=242.0g\times 4.18J/g^oC\times (100-(26))^oC=74855.44J

  • <u>For process 2:</u>

q_2=m\times L_v

where,

q_2 = amount of heat absorbed = ?

m = mass of water or steam = 242 g

L_v = latent heat of vaporization = 2257 J/g

Putting all the values in above equation, we get:

q_2=242g\times 2257J/g=546194J

  • <u>For process 3:</u>

q_3=mC_p,g\times (T_2-T_1)

where,

q_3 = amount of heat absorbed = ?

m = mass of steam = 242.0 g

C_{p,g} = specific heat of steam = 2.08 J/g°C

T_2 = final temperature = 101^oC

T_1 = initial temperature = 100^oC

Putting all the values in above equation, we get:

q_3=242.0g\times 2.08J/g^oC\times (101-(100))^oC=503.36J

Total heat required = q_1+q_2+q_3=(74855.44+546194+503.36)=621552.8J=621.552kJ

  • To calculate the number of moles of methane, we apply unitary method:

When 802.34 kJ of heat is needed, the amount of methane combusted is 1 mole

So, when 621.552 kJ of heat is needed, the amount of methane combusted will be = \frac{1}{802.34}\times 621.552=0.775mol

To calculate the number of moles, we use the equation:

\text{Number of moles}=\frac{\text{Given mass}}{\text{Molar mass}}

Molar mass of methane = 16 g/mol

Moles of methane = 0.775 moles

Putting values in above equation, we get:

0.775mol=\frac{\text{Mass of methane}}{16g/mol}\\\\\text{Mass of methane}=(0.775mol\times 16g/mol)=12.4g

Hence, the mass of methane burned is 12.4 grams.

8 0
3 years ago
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