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What does delta mean?
Final - initial
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What is heat (q)?
- Heat is not energy, it’s the transfer of energy. Not a state function. Thus, lowercase.
- q is positive if thermal energy is added to the system. (endothermic)
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What is work (w)?
- Energy that is transferred to the system by force.
- w = force*distance
- w is positive if energy is transferred to the system by force. (compression)
- W = -force * Δh (displacement)
- Force = pressure X area
- Or w = -pressure (vfinal - vinitial) for cylinders.
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What is ΔU of the system?
ΔU = q + w
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How do you calculate pressure?
- Force/area
- Thus, force = pressure X area
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What are the units for w = -pressure (vfinal - vinitial)
- Pressure = pascal
- Work = joule
- Volume = m3
- An alternative is to use L.atm
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When q is positive?
Exothermic
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When q is negative
Endothermic
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What are state functions?
- Functions that depend only on the state of the function and not on how the state was achieved. They can be calculated by final - initial
- Written in upper case. For example ΔU is a state function.
- So are P T and V.
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How does ΔU differ for constant volume and constant pressure reactions?
It’s the same.
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What is ΔU in constant volume reactions?
It’s equal to q.
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What is ΔU in constant pressure reactions?
It’s equal to q + w
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What is ΔH (enthalpy)?
- It’s the heat released in constant pressure reactions?
- ΔH = ΔU + P*Δv (remember that -P*ΔV is equal to w)
- Another form is ΔU + Δmolofgas *R*T
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What is the relationship between ΔH and ΔU?
They’re the same unless gas is produced or consumed.
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What is the relationship between ΔU and ΔH when gas is consumed in the reaction?
ΔU > ΔH
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What is the relationship between ΔU and ΔH when gas is evolved in the reaction?
ΔH > ΔU
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What is molar heat capacity?
- Heat needed to raise the temperature of a 1 mol of a substance by 1K.
- j/molK
- Q = n * Cp * ΔT
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What is specific heat capacity?
- Heat needed to raise the temperature of 1 gr of a substance by 1K
- J / gK
- Q = m * Csp * ΔT
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How to solve insulation questions asking for final temperature?
- The total Q will be 0 due to insulation.
- Keep in mind that the heat given and the heat received will be the same.
- Don’t forget units. Always write units. However, keep in mind that you should write K and C accordingly.
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How to solve calorimetry questions with water?
-ΔH of the reaction will be equal to the heat received by the water due to insulation.
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Negative ΔH reactions?
Are exothermic.
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Positive ΔH reactions?
Endothermic.
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How can we change calorimetry reactions to directly measure energy rather than enthalpy?
Run the experiment under constant volume conditions.
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What are thermo state functions?
- Energy, enthalpy, entropy, free energy.
- Work and heat are NOT state functions.
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What’s Hess’ Law?
ΔH is additive. Be careful with this it’s easy to mess up.
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What is enthalpy of formation?
- These are tabulated.
- Enthalpy required to form one mole of a substance from the most stable form of the constituent elements at STP.
- Remember to convert from mol to gram etc.
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Most stable form for carbon
Graphite.
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What enthalpy of formation at most stable form?
0.
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How to calculate ΔH from ΔH of formation?
Sum of ΔH of formation of products - sum of ΔH of formation of reactants
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How do we calculate ΔH from Δh of calorimeter?
ΔH = -cp(cal)*ΔT
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How to write the rate of a chemical reaction?
- 1/stoichiometric coefficient [Dconc.]/Dt=1/…. Of all reactants and products.
- For reactants, it’s negative.
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How to calculate instantaneous rate?
Draw the tangent line to the specific point. The absolute value of the slope is the rate.
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How to calculate average rate?
The average rate is given by taking the initial value and the final value and dividing the difference by time.
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What’s rate law?
- Equation that describes reaction rate in terms of reactant concentration.
- =k [A] [B] [C]
- ONLY REACTANTS
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How do we determine rate law?
- Only experimentally.
- The key point here is that we must isolate the reaction of interest from the backward reaction. Thus, we use the initial rate!! Time is equal to 1.
- We must do 3 tests:
- Plot [A] to time
- Plot ln[A] to time
- Plot 1/[A] to time
- Whichever is linear will give you the reaction order.
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How many experiments are needed to find the rate law of a reaction?
Number of reactants + 1.
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What is reaction order?
Equal to the sum of the exponents in the rate equation.
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Rate law of 0th order reactions?
- [A] = [A]_0 - kt
- Slope = -k
- X intersect is [A]0
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Rate law of 1st order reactions?
- [A] = [A]_0 * e^(-kt)
- Natural log gives you ln[A] = -kt + ln[A]0 (linear form!)
- When you plot ln[A] to time, it’ll give you a line going down.
- X intersect is ln[A]0
- Slope = -k
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Rate law of 2nd order reactions?
- 1/[A] = kt + 1/[A]0 (linear form)
- Plotting 1/[A] will give you a line going up.
- X intersect is 1/[A]0
- Slope = k
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If it asks for number of experiments?
Number of experiments = number of unknowns.
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Half life is constant for
First order reactions
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How to find half life?
Solve integrated rate law for [A]½
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How do we measure the rate law for reactions for multiple reactants?
- Run the experiment 3 times with the 2 reactants at high concentration and monitor the reactant under study.
- Graph [A], ln[A], 1/[A] determine which is most linear.
- Analyze any of the data to determine k.
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How to use half life to determine how long it will take to get a certain concentration?
Target conc = [A]0 * (½)^(n/half life)
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Why are direct mechanisms rare?
3-body collisions are extremely rare. The direct mechanism rarely occurs.
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What is a transition state?
Geometric shape when everything is together.
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What is intermediate?
When the temporary product can be isolated. Produced in one step of the reaction and consumed in another. Usually an unstable and reactive species.
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How do I prove if a sequential reaction is correct?
Determine whether the intermediate is present.
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Molecularity?
Is determined by how many molecules have to clash into each other.
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How to determine the rate law of a reaction from elementary reactions?
- The rate determining step (slowest one) can be used, as we’re certain that it occurs in one step.
- Take the stoichiometry.
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For a reaction to happen, what three things need to occur?
- Reactants must collide:
- With enough energy
- With correct orientation
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Explain collision theory of reaction rates
Rate = (rate of reactants colliding, which is proportional to concentration) x (prob, that molecules will have enough energy, depends on temperature) x (probability of correct orientation, which is a constant)
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Relationship between kinetic energy and activation energy?
Ke must be bigger than Ea to occur. It will maybe happen.
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What is arrhenius equation?
K = A e ^(-EA/RT)
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Modified version of arrhenius for multiple reactions?
ln(k2/k1) = Ea/R x (T2-T1)/(T2*T1)
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How does a catalyst increase the rate of reaction?
Provides a different and faster reaction mechanism.
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How do I know it’s a catalyst?
If the presence of a molecule increases the rate of reaction and it isn’t consumed by the end, it’s a catalyst.
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Does a catalyst change the amount of reactants or products?
- No. It decreases the Ea of both the forward and the backward reactions.
- It’ll only bring the equation to equilibrium faster.
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What is the rate determining step?
It’s the elementary reaction that occurs slower.
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