HomeConcept libraryChemistryStoichiometry and YieldStoichiometry and Yield

Chemistry Stoichiometry and YieldIntroStarter track

Concept module

Percent Yield and Reaction Extent

Compare actual output with the same theoretical recipe cap so percent yield stays visual and honest on one shared bench.

Interactive lab

Keep the stage, immediate control feedback, and linked study tools in one working bench.

Stoichiometry recipe bench

Keep the recipe card, the two reactant supplies, and the actual product output on one bench so ratios, limiting packets, and yield never drift into detached worksheet algebra.

Controls

Adjust the live parameters and watch the bench respond.

Reactant A packets

A

Change how many A packets the current run starts with.

Reactant B packets

B

Change how many B packets the current run starts with.

A per batch

Set how much A one full recipe batch consumes.

B per batch

Set how much B one full recipe batch consumes.

More tools

Secondary controls, alternate presets, and less-used toggles stay nearby without crowding the main bench.

Hide

Percent yield

Y

75 %

Lower this to compare actual output with the fixed theoretical marker.

More presets

Presets

Predict -> manipulate -> observe

Keep the active prompt next to the controls so each change has an immediate visible consequence.

ObservationPrompt 1 of 2

The theoretical output stays fixed until you change the recipe or the limiting reagent; percent yield only changes how much of that output actually appears.

Graphs

Switch graph views without breaking the live stage and time link.

Actual vs theoretical output

Keep the actual product tray against the ideal output marker while yield changes.

percent yield: 40 to 100product batches: 0 to 8

Actual productTheoretical product

Hover or scrub to link the graph back to the stage.percent yield / product batches

Equation map

See each variable before you move it.

Select a symbol to highlight the matching control and the graph or overlay it most directly changes.

A

Reactant A packets

Helps set the theoretical batch cap before yield changes the actual output.

Graph: Possible batches vs A supplyGraph: Actual vs theoretical outputOverlay: Recipe cardOverlay: Yield gap

Equations in play

Choose an equation to sync the active symbol, control highlight, and related graph mapping.

More tools

Detailed noticing prompts, guided overlays, and challenge tasks stay available without taking over the main bench.

Hide

What to notice

Keep the ideal marker and the actual output tray in view together.

ObservationPrompt 1 of 2

Graph: Actual vs theoretical output

The theoretical output stays fixed until you change the recipe or the limiting reagent; percent yield only changes how much of that output actually appears.

Control: Reactant A packetsControl: Reactant B packetsControl: Percent yieldGraph: Actual vs theoretical outputOverlay: Recipe cardOverlay: Yield gapEquation

A

Equation

B

Equation

Y

Guided overlays

Focus one overlay at a time to see what it represents and what to notice in the live motion.

3 visible

Overlay focus

Recipe card

Keep the reaction recipe visible while the yield slider changes.

What to notice

The recipe card and the limiting reagent stay the same even when percent yield lowers the actual tray.

Why it matters

It separates the theoretical recipe story from the later percent-yield adjustment.

Control: A per batchControl: B per batchGraph: Actual vs theoretical output

Challenge mode

Keep the recipe matched, then land the actual tray at a lower percent yield.

0/1 solved

ConditionCore

6 of 8 checks

Hit 75% yield on a matched run

Use the matched 2 A + 3 B run and set percent yield to 75% so the actual output lands at 3.75 batches.

Graph-linkedGuided start2 hints

Matched

Open the Actual vs theoretical output graph.

Actual vs theoretical output

Matched

Keep the Recipe card visible.

Matched

Keep the Yield gap visible.

Matched

Keep A per batch at 2.

Matched

Keep B per batch at 3.

Pending

Set A to 10 packets.

Pending

Set B to 15 packets.

Matched

Set yield to 75%.

The checklist updates from the live simulation state, active graph, overlays, inspect time, and compare setup.

The current recipe is 2 A + 3 B -> 1 batch. With 12 A and 18 B, the run can support about 6 full batches. The supplies match the recipe closely, so neither reactant runs out first. At 75% yield, only 4.5 of the 6 theoretical batches finish.

Equation detailsDeeper interpretation, notes, and worked variable context.

Actual output from percent yield

Percent yield scales the theoretical batch count down to the actual finished output.

b_{actual} = \frac{Y}{100} b_{theory}

A

Reactant A packets 12

B

Reactant B packets 18

Y

Percent yield 75 %

Reaction extent

The reaction extent on this bench is the fraction of the theoretical output that actually appears.

ξ = \frac{b _{actual}}{b _{theory}}

Y

Percent yield 75 %

Yield gap

The missing part of the output is the difference between the theoretical marker and the actual tray.

Δ b = b_{theory} - b_{actual}

Y

Percent yield 75 %

Progress

Not startedMastery: NewLocal-first

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Let the live model runChange one real controlOpen What to notice

Try this setup

Jump to a named bench state or copy the one you are looking at now. Shared links reopen the same controls, graph, overlays, and compare context.

This bench opened from a setup link. Any new copy will reflect the state you see now.

Current bench

Partial yield preset

This bench still matches one named preset, so the copied link will reopen that same starting point along with the current graph, overlays, and inspect context.

Open default bench

Featured setups

75% yield run

Open the run where the recipe is matched but the output tray stops short of the ideal marker.

Full-yield contrast

Compare the same supplies at 100% yield so the ideal output is fully reached.

Saved setups

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Stable links

Starter track

Step 3 of 30 / 3 complete

Stoichiometry and Yield

Earlier steps still set up Percent Yield and Reaction Extent.

1. Stoichiometric Ratios and Recipe Batches2. Limiting Reagent and Leftover Reactants3. Percent Yield and Reaction Extent

Previous step: Limiting Reagent and Leftover Reactants.

Start from track beginning

Short explanation

What the system is doing

Percent yield stays honest when the ideal output marker and the actual product tray sit on the same recipe bench. This module keeps the limiting-reagent story, the theoretical product, and the actual finished batches together so yield never becomes detached algebra.

Reaction extent on this bench is the fraction of the theoretical recipe batches that actually finish. Lower yield does not change the recipe card or the limiting reagent. It changes how much of the possible output appears.

Key ideas

01Theoretical output comes from the limiting-reagent batch cap before yield is applied.

02Percent yield scales actual output relative to that theoretical cap.

03If yield is below 100%, some of the possible output is missing and more reactant packets remain unused than in the full-yield case.

Worked example

Read the full frozen walkthrough.

Frozen walkthrough

Use the actual tray and the ideal marker together.

Live worked examples are available on Premium. You can still read the full frozen walkthrough on the free tier.

View plans

Frozen valuesUsing frozen parameters

With 12 A, 18 B, and a 2:3 recipe at 75% yield, how much product appears and how large is the yield gap?

A

Reactant A packets

reactantAAmountValue

B

Reactant B packets

reactantBAmountValue

Y

Percent yield

percentYieldValue

1. Read the theoretical batch cap first

The matched 12 A and 18 B run supports 6 theoretical batches on the 2:3 recipe.

2. Scale the actual output by percent yield

At 75% yield, the actual tray reaches 0.75 x 6 = 4.5 product batches.

3. Compare actual output with the ideal marker

The yield gap is 6 - 4.5 = 1.5 batches, so the tray stops short of the theoretical marker.

Actual output and gap

Actual output = 4.5 batches; yield gap = 1.5 batches.

Percent yield measures how much of the limiting-reagent output actually appears, not a new recipe ratio.

Common misconception

A 75% yield means the recipe itself changed to use only 75% of each packet from the start.

The recipe card stays the same. Yield changes how much of the possible output actually finishes.

The same starting supplies can have the same theoretical output while the actual product tray lands lower.

Mini challenge

Hold the recipe fixed, then lower yield until the actual tray clearly stops short of the ideal marker.

Prediction prompt

Decide which slider changes the actual output without changing the theoretical batch cap.

Check your reasoning

Percent yield changes the actual output while the theoretical batch cap stays set by the same recipe and limiting reagent.

That keeps theoretical yield and actual yield separated on one bench instead of collapsing them into one number.

Quick test

Reasoning

Question 1 of 2

Answer from the theoretical marker and the actual tray together.

If a run has a theoretical output of 6 batches and a 75% yield, what actual output should the tray show?

Choose one answer to reveal feedback, then test the idea in the live system if a guided example is available.

Accessible description

The simulation shows two reactant supply bins, one product tray, and a recipe card that states how many packets of A and B one full batch needs.

A readout card reports the current recipe, the maximum possible batches, which supply is limiting, the actual output, and how much of each reactant is left after the run.

Graph summary

One graph scans possible batches against the A supply, a second scans possible batches against the B supply, and a third compares actual product with the theoretical product as percent yield changes.

The ideal marker and the actual tray stay tied to the same recipe bench so percent yield reads as a visible shortfall from the theoretical output.

Carry yield into the next chemistry branch

Keep moving through the concept map.

These suggestions come from the concept registry, so the reason label reflects either curated guidance or the fallback progression logic.

Carry quantity bookkeeping into solutionsSolutions and pH

Percent Yield and Reaction Extent

See each variable before you move it.

Recipe card

Hit 75% yield on a matched run

Stoichiometry and Yield

What the system is doing

Read the full frozen walkthrough.

With 12 A, 18 B, and a 2:3 recipe at 75% yield, how much product appears and how large is the yield gap?

If a run has a theoretical output of 6 batches and a 75% yield, what actual output should the tray show?

Keep moving through the concept map.

Concentration and Dilution

Solubility and Saturation

Limiting Reagent and Leftover Reactants