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the teacher you'll
always love

Understand any material in dope 1:1 lessons

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Eigen lesson screen: chemistry, ionic and covalent bonds

  • conversational

  • visual

  • all subjects

Trusted by students at these schools to carry the semester

learn , guided by a superhuman teacher

Drop in your material

Attach images, documents, or just type what you're stuck on. Eigen reads it all in seconds.

Get a lesson built for you

Eigen works through what you bring and builds real understanding on a guided whiteboard.

Ask, adapt, master

Interrupt anytime. Eigen reroutes the explanation to how you think, until the concept clicks.

the habit students look forward to

I love this app for studying and helping me understand everything totally recommend!!

@yuki_tOmaha, Nebraska

I love this app for studying and helping me understand everything totally recommend!!

@yuki_tOmaha, Nebraska

been using it everyday for ochem and it actually explains stuff instead of just giving u the answer

@mark_vincentFairfax, Virginia

ok so i was failing precalc and now im not. thats all i needed to say

@moonlit.peachSunnyvale, California

use this for my engineering classes and it walks through derivations step by step. way better than chegg

@ahmad_shahAustin, Texas

helps me a lot in school I get a lot of A's and B's because of this. This is my favorite studying app.

@kofi_aPlano, Texas

Eigen is like a personal tutor and takes you step by step through everything in an engaging format

@priya_sBerkeley, California

love it!! got me thru finals week ngl

@pedro_gCoral Springs, Florida

the way it draws stuff out on the whiteboard makes way more sense than just reading the textbook over and over

@sleepyowl41Naperville, Illinois

this app has made my grade go from a D to an A in just a single semester

@mateo_rLos Angeles, California

the voice tutor thing is wild. felt like i was on a call with a real TA at 2am the night before my midterm

@kai.0830Newton, Massachusetts

best study app fr saved my gpa this semester

@hyperaura_12Bellevue, Washington

was super skeptical but my roommate kept using it so i tried it for stats and now im hooked

@nyx_2207Alpharetta, Georgia

Helped explain college math better than my teacher.

@fatima_hSan Diego, California

Love this app for studying!!!!!

@milobean.22Chandler, Arizona

explains things in a way that actually clicks. been using it for linear algebra and its been a game changer

@ghostpepper555Palo Alto, California

literally the ONLY reason i passed bio this year. wish i had this in freshman year

@ari.2305Centennial, Colorado

Ready to make it click?

Anything is learnable with the right teacher.

Get started
The live page at 1440 wide.
Eigen
Sign inGet started

the teacher you'll
always love

Understand any material in dope 1:1 lessons

Try now
Eigen lesson screen: chemistry, ionic and covalent bonds

  • conversational

  • visual

  • all subjects

Trusted by students at these schools to carry the semester

learn , guided by a superhuman teacher

Drop in your material

Attach images, documents, or just type what you're stuck on. Eigen reads it all in seconds.

Get a lesson built for you

Eigen works through what you bring and builds real understanding on a guided whiteboard.

Ask, adapt, master

Interrupt anytime. Eigen reroutes the explanation to how you think, until the concept clicks.

the habit students look forward to

I love this app for studying and helping me understand everything totally recommend!!

@yuki_tOmaha, Nebraska

I love this app for studying and helping me understand everything totally recommend!!

@yuki_tOmaha, Nebraska

been using it everyday for ochem and it actually explains stuff instead of just giving u the answer

@mark_vincentFairfax, Virginia

ok so i was failing precalc and now im not. thats all i needed to say

@moonlit.peachSunnyvale, California

use this for my engineering classes and it walks through derivations step by step. way better than chegg

@ahmad_shahAustin, Texas

helps me a lot in school I get a lot of A's and B's because of this. This is my favorite studying app.

@kofi_aPlano, Texas

Eigen is like a personal tutor and takes you step by step through everything in an engaging format

@priya_sBerkeley, California

love it!! got me thru finals week ngl

@pedro_gCoral Springs, Florida

the way it draws stuff out on the whiteboard makes way more sense than just reading the textbook over and over

@sleepyowl41Naperville, Illinois

this app has made my grade go from a D to an A in just a single semester

@mateo_rLos Angeles, California

the voice tutor thing is wild. felt like i was on a call with a real TA at 2am the night before my midterm

@kai.0830Newton, Massachusetts

best study app fr saved my gpa this semester

@hyperaura_12Bellevue, Washington

was super skeptical but my roommate kept using it so i tried it for stats and now im hooked

@nyx_2207Alpharetta, Georgia

Helped explain college math better than my teacher.

@fatima_hSan Diego, California

Love this app for studying!!!!!

@milobean.22Chandler, Arizona

explains things in a way that actually clicks. been using it for linear algebra and its been a game changer

@ghostpepper555Palo Alto, California

literally the ONLY reason i passed bio this year. wish i had this in freshman year

@ari.2305Centennial, Colorado

Ready to make it click?

Anything is learnable with the right teacher.

Get started
The same page at 390 wide.

A 24/7 teacher that's got your back.

Eigen draws it out and talks it through like office hours that never close,not a chatbot guessing at answers but an actual tutor that shows its work.

Sign up for free
The setup
Drip NaOH of known molarity into acetic acid of unknown amount.
What’s in play
•Titrant: NaOH, a strong base of known molarity
•Analyte: CH3COOH, a weak acid of unknown amount
•Indicator: phenolphthalein, which flags the endpoint
The measurement
At the equivalence point, the moles of base added equal the moles of acid present.
MaVa = MbVb
Titrating a Weak Acid
Adding strong base to a weak acid first builds a buffer: a mix of the acid (HA) and its conjugate base ([A−]) that resists pH change.
Ka = [H+][A−] / [HA]
The acid-dissociation constant: small Ka means weak.
pH = pKa + log ( [A−] / [HA] )
Henderson-Hasselbalch: buffer pH is set by the ratio of base to acid.
At the half-equivalence point, [HA] = [A−], so the log term is zero and pH = pKa.
At the equivalence point, every HA has become A−, a weak base, so the solution turns basic and pH > 7.
The curve
pH inches up through the buffer region, then jumps at the equivalence point.
Reading it
•Flat stretch: the buffer region
•Buffer midpoint: pH = pKa
•Steep jump: the equivalence point
StageIn solutionpH
InitialHA onlyset by Ka
BufferHA + A−≈ pKa
EquivalenceA− only> 7
What you see
An alternative direction in yellow. Not shipped.
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