1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
GuDViN [60]
3 years ago
15

The following data were obtained for the reaction 2A + B → C where rate = Δ[C]/Δt [A](M) [B](M) Initial Rate (M/s) 0.100 0.0500

2.13 × 10–4 0.200 0.0500 1.70 × 10–2 0.400 0.100 1.36 × 10–1 What is the value of the rate constant?
Chemistry
1 answer:
Roman55 [17]3 years ago
7 0

Answer :  The value of the rate constant 'k' for this reaction is 2.67\times 10^{2}M^{-2}s^{-1}

Explanation :

Rate law is defined as the expression which expresses the rate of the reaction in terms of molar concentration of the reactants with each term raised to the power their stoichiometric coefficient of that reactant in the balanced chemical equation.

For the given chemical equation:

2A+B\rightarrow C

Rate law expression for the reaction:

\text{Rate}=k[A]^a[B]^b

where,

a = order with respect to A

b = order with respect to B

Expression for rate law for first observation:

2.13\times 10^{-4}=k(0.100)^a(0.0500)^b ....(1)

Expression for rate law for second observation:

1.70\times 10^{-2}=k(0.200)^a(0.0500)^b ....(2)

Expression for rate law for third observation:

1.36\times 10^{-1}=k(0.400)^a(0.100)^b ....(3)

Dividing 2 by 1, we get:

\frac{1.70\times 10^{-2}}{2.13\times 10^{-4}}=\frac{k(0.200)^a(0.0500)^b}{k(0.100)^a(0.0500)^b}\\\\80=2^a\\\\\log 80=a\times \log 2\\\\a=6

Dividing 3 by 2 and put value of a = 6, we get:

\frac{1.36\times 10^{-1}}{1.70\times 10^{-2}}=\frac{k(0.400)^6(0.100)^b}{k(0.200)^6(0.0500)^b}\\\\8=2^{(b+6)}\\\\b+6=3\\\\b=-3

Thus, the rate law becomes:

\text{Rate}=k[A]^a[B]^b

\text{Rate}=k[A]^6[B]^{-3}

Now, calculating the value of 'k' by using any expression.

2.13\times 10^{-4}=k(0.100)^6(0.0500)^{-3}

k=2.67\times 10^{2}M^{-2}s^{-1}

Hence, the value of the rate constant 'k' for this reaction is 2.67\times 10^{2}M^{-2}s^{-1}

You might be interested in
What causes the biggest change mass or speed?
Norma-Jean [14]

Answer:

Explanation if an object is in motion and more force is applied to it, the object will begin moving faster. If two objects have the same mass and a greater force is applied to one of the objects, the object which receives the greater force will change speeds more quickly.:

6 0
2 years ago
Ammonia, NH 3 , may react with oxygen to form nitrogen gas and water. 4 NH 3 ( aq ) + 3 O 2 ( g ) ⟶ 2 N 2 ( g ) + 6 H 2 O ( l )
Alex Ar [27]

Answer:

The limiting reactant is NH₃

0.0186moles of N₂ are the one produced by the limiting reactant

0.020 moles of N₂ are the one produced by the reactant in excess

Explanation:

This is the reaction

4NH₃ + 3O₂  → 2N₂ + 6H₂O

We should calculate the moles of each reactant

Mass / Molar mass = Moles

3.55 g / 17g/m = 0.208 moles NH₃

5.33 g / 32g/m = 0.166 moles O₂

4 moles of ammonia react with 3 moles of oxygen

0.208 moles of ammonia react with (0.208  .3)/4 = 0.156 moles O₂

We have 0.166 moles of O₂ and we need 0.156 moles, so O₂ is the reactant in excess.

3 moles of O₂ react with 4 moles of NH₃

0.166 moles of O₂ react with (0.166 . 4)/ 3 = 0.221 moles

We have 0.208 moles NH₃ and we need 0.221, so NH₃ is the limiting reactant.

To know the moles of N₂, let's apply the Ideal Gas Law

P.V =n.R.T

1atm . 0.450L = n . 0.082 . 295K

0.450 / (0.082 .295) = 0.0186 moles

If we have 100 % yield reaction:

4 moles NH₃ make 2 moles N₂

0.208 moles NH₃ make (0.208  .2)/4 = 0.104 moles

So the % yield reaction is.

0.104 moles ___ 100%

0.0186 moles ___ 17.9%

0.0186moles of N₂ are the one produced by the limiting reactant.

3 moles of O₂ produce 2 moles N₂

0.166 moles O₂ produce  (0.166  .2)/3 = 0.111 moles

Now, we apply the yield.

100% ____ 0.111 moles

17.9% = 0.020 moles

8 0
3 years ago
Read 2 more answers
22. Most plates have a convergent boundary on one side and a
Alex73 [517]

Answer:

the answer for this question is true

8 0
3 years ago
When hot lava reaches seawater, the salts in the water react with steam to form gaseous hydrochloric acid. You are given an unba
qaws [65]
Cl⁻ + H₂O(g) = HCl(g) + OH⁻

w - it is percent chloride ions in solid sea salt (as a rule 55%)

m - it is the mass of sea salt

m(Cl⁻)=mw/100

m(Cl⁻)/M(Cl)=V(HCl)/V₀

mw/{100M(Cl)}=V(HCl)/V₀

m=100M(Cl)V(HCl)/{wV₀}  (<span>the mass of solid sea salt)</span>

V₀=22.4 L/mol
M(Cl)=35.45 g/mol

for example:
V(HCl)= 1.0 L
w=55%

m=100×35.45×1.0/{55×22.4}=2.88 g



7 0
3 years ago
Read 2 more answers
Which organism is responsible for clean up in this ecosystem?
Fynjy0 [20]
I would say that the organism that is responsible for clean up in this ecosystem are decomposers. They <span>are organisms that break down dead or decaying organisms, and in doing so, they carry out the natural process of decomposition. Hope this answers the question.</span>
6 0
3 years ago
Read 2 more answers
Other questions:
  • A forward reaction in which adding heat decreases product formation is _________, while a forward reaction in which adding heat
    15·1 answer
  • Why can't chemical changes be undone? Because of the chemical properties. Because Mark is an idiot. Because they need energy. Be
    14·1 answer
  • Atoms of elements at the top of a group on the periodic table are smaller than the atoms of elements at the bottom of the group.
    10·2 answers
  • The variable n represents
    8·1 answer
  • 47.060 centimeters to meters 470.6
    9·1 answer
  • What is the empirical formula of a compound composed of 3.25% hydrogen ( H ), 19.36% carbon ( C ), and 77.39% oxygen ( O ) by ma
    6·1 answer
  • What is a societal law
    9·2 answers
  • Bohr's model of the atom attempts to explain the idea that
    12·1 answer
  • The gure below shows partidos
    8·1 answer
  • A balloon contains 7. 2 L of helium. The pressure is reduced to 2. 00 atm and the balloon expands to occupy a volume of 25. 1 L.
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!