Connect heat, phase changes and reaction-energy evidence
Solve eight unfamiliar thermochemistry cases, compare competing models and distinguish calculation agreement from experimental support.
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Infer the apparatus capacity from independent pulses
A stipulated 120 g solution has specific heat 3.0 J/(g K). A known 1260 J electrical pulse gives a 3.0 K rise; a second 840 J pulse gives 2.0 K. With no external loss and constant capacities, enter the apparatus heat capacity in J/K. Explain why two agreeing pulses do not prove all later reaction runs are isolated.
Quantity / representation
Packet value
Solution
120 g; 3.0 J/(g K)
Pulses
1260 J / 3 K; 840 J / 2 K
Boundary
Exact teaching values; calibrated receiver includes solution and apparatus
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Keep reaction heat opposite to its receiving surroundings
A calibrated receiver has capacity 800 J/K. A reaction run changes temperature by −1.5 K; a matched additive blank changes it by +0.5 K. Reaction extent is 0.040 mol. Under constant pressure, only pressure-volume work and no uncharacterized heat exchange, enter molar reaction enthalpy in kJ/mol reaction. Explain the sign and why a mismatched blank would prevent this inference.
Quantity / representation
Packet value
Run / blank
−1.5 K / +0.5 K
Receiver capacity
800 J/K
Extent
0.040 mol of reaction as written
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Account for material already in the vapor phase
An original pure-substance model has 2.5 mol total, initially 20% vapor, at phase equilibrium under the appropriate constant pressure. Stipulated molar vaporization enthalpy is 30 kJ/mol. Adding 22.5 kJ stays inside the phase interval. Enter the final vapor mole fraction and explain the final liquid/vapor amounts without interpreting the fraction as container volume.
Quantity / representation
Packet value
Initial inventory
2.5 mol; vapor fraction 0.20
Heat / molar phase energy
+22.5 kJ / 30 kJ/mol
Boundary
Closed variable-volume phase model; heat and amount stipulated exact
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Distinguish a nominal phase endpoint from supported completion
One mole starts as liquid. Supplied heat is exactly 20 kJ and the molar vaporization reference is 20±1 kJ/mol, treated as an endpoint range. Which conclusion is supported? Calculate the possible algebraic fractions and name the information needed if all liquid is consumed before the heat input ends.
Quantity / representation
Packet value
Nominal result
20/(1×20)=1
Reference range
19–21 kJ/mol; no probability interpretation
Missing model
No single-phase heat capacity or post-transition state model
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Reverse and scale an unfamiliar reaction-energy chain
Three hypothetical isomers X,Y,Z share an elemental formula. Supplied transformations are X→Y, ΔH=+25±2 kJ, and Y→Z, ΔH=−70±3 kJ, each per equation as written. Enter ΔH for 2Z→2X. Explain intermediate cancellation and the absolute endpoint envelope without assuming Gaussian independence.
Quantity / representation
Packet value
Source 1
X→Y: +25±2 kJ
Source 2
Y→Z: −70±3 kJ
Target
2Z→2X
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Do not assign zero to every elemental form
Use supplied standard formation values CO₂(g)=−393.51 and CO(g)=−110.53 kJ/mol. A separate stipulated conversion C(graphite)→C(alternative solid) costs +1.90 kJ/mol. Enter the energy for 2CO(g)→CO₂(g)+C(alternative solid). Explain why elemental composition alone cannot justify replacing the alternative solid formation value by zero.
Quantity / representation
Packet value
Reference forms
Graphite and O₂(g) use the elemental zero convention
Gas formation inputs
CO₂ −393.51; CO −110.53 kJ/mol
Additional stipulated state change
Graphite→alternative solid: +1.90 kJ/mol
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Separate common temperature, molecular speed and total energy
Two separate ideal monatomic gas samples are at the same temperature and contact through a heat-conducting wall. One has particle mass 4 u and twice as many particles as the other, whose particle mass is 40 u. Which statement follows? Explain the net heat-transfer direction and distinguish temperature from a stored quantity called heat.
Quantity / representation
Packet value
Temperature
Same equilibrium temperature
Masses / counts
4 u with 2N particles; 40 u with N particles
Model
Ideal monatomic gases; equilibrium, no bulk motion
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Limit a conclusion to the energy evidence actually supplied
A valid constant-pressure measurement for a stated reaction and conditions gives ΔH=−40 kJ per mole of reaction. No rate, activation-barrier, entropy or equilibrium data are supplied. Which conclusion is supported? Explain the sign without extending the claim to every temperature or pathway.
Quantity / representation
Packet value
Reported property
ΔH=−40 kJ/mol reaction under stated conditions
Work boundary
Only pressure-volume work
Absent evidence
Rate, barrier, entropy and equilibrium composition
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Retain a snapshot for a human review
The report separates current editable explanations from retained first/latest answers. It includes comparison reasoning only for already exposed cases. Preparing a snapshot does not submit it or establish independent review.
Source and model boundaries
All eight cases are original public transfer packets, using explicitly supplied values. The College Board CED, Unit 6 supplies the capability framework. The calibration, Hess construction and phase-energy activities explain source and model limits. Existing HS thermal lessons supply contextual support. No restricted exam content or newly measured experimental dataset is claimed.
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