The difference between Pack and Stack
When used as nouns, pack means a bundle made up and prepared to be carried, whereas stack means a large pile of hay, grain, straw, or the like, larger at the bottom than the top, sometimes covered with thatch.
When used as verbs, pack means to make a pack of, whereas stack means to arrange in a stack, or to add to an existing stack.
check bellow for the other definitions of Pack and Stack
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Pack as a noun:
A bundle made up and prepared to be carried; especially, a bundle to be carried on the back, but also a load for an animal, a bale
Examples:
"The horses carried the packs across the plain."
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Pack as a noun:
A number or quantity equal to the contents of a pack
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Pack as a noun:
a multitude.
Examples:
"a pack of lies"
"a pack of complaints"
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Pack as a noun:
A number or quantity of connected or similar things; a collective.
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Pack as a noun:
A full set of playing cards; also, the assortment used in a particular game
Examples:
"We were going to play cards, but nobody brought a pack."
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Pack as a noun:
A number of hounds or dogs, hunting or kept together.
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Pack as a noun:
A wolfpack: a number of wolves, hunting together.
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Pack as a noun:
A number of persons associated or leagued in a bad design or practice; a gang.
Examples:
"a pack of thieves or knaves"
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Pack as a noun:
A group of Cub Scouts.
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Pack as a noun:
A shook of cask staves.
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Pack as a noun:
A bundle of sheet-iron plates for rolling simultaneously.
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Pack as a noun:
A large area of floating pieces of ice driven together more or less closely.
Examples:
"The ship had to sail round the pack of ice."
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Pack as a noun (medicine):
An envelope, or wrapping, of sheets used in hydropathic practice, called dry pack, wet pack, cold pack, etc., according to the method of treatment.
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Pack as a noun (slang):
A loose, lewd, or worthless person.
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Pack as a noun (snooker, pool):
A tight group of object balls in cue sports. Usually the reds in snooker.
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Pack as a noun (rugby):
The team on the field.
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Pack as a verb (physical):
To put or bring things together in a limited or confined space, especially for storage or transport. To make a pack of; to arrange closely and securely in a pack; hence, to place and arrange compactly as in a pack; to press into close order or narrow compass. To fill in the manner of a pack, that is, compactly and securely, as for transportation; hence, to fill closely or to repletion; to stow away within; to cause to be full; to crowd into. To envelop in a wet or dry sheet, within numerous coverings. To render impervious, as by filling or surrounding with suitable material, or to fit or adjust so as to move without giving passage to air, water, or steam. To make up packs, bales, or bundles; to stow articles securely for transportation. To admit of stowage, or of making up for transportation or storage; to become compressed or to settle together, so as to form a compact mass. To gather in flocks or schools. To combine (telegraph messages) in order to send them more cheaply as a single transmission.
Examples:
"to pack goods in a box;  to pack fish"
"to pack a trunk;  the play, or the audience, packs the theater"
"The doctor gave Kelly some sulfa pills and packed his arm in hot-water bags."
"to pack a joint;  to pack the piston of a steam engine;  pack someone's arm with ice."
"the goods pack conveniently;  wet snow packs well"
"the grouse or the perch begin to pack'"
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Pack as a verb (social):
To cheat, to arrange matters unfairly. To sort and arrange (the cards) in a pack so as to secure the game unfairly. To bring together or make up unfairly and fraudulently, in order to secure a certain result. To contrive unfairly or fraudulently; to plot. To unite in bad measures; to confederate for ill purposes; to join in collusion.
Examples:
"to pack a jury"
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Pack as a verb (transitive):
To load with a pack; hence, to load; to encumber.
Examples:
"to pack a horse"
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Pack as a verb (transitive):
To move, send or carry. To cause to go; to send away with baggage or belongings; especially, to send away peremptorily or suddenly; – sometimes with off. See pack off. To transport in a pack, or in the manner of a pack (i. e., on the backs of men or animals). To depart in haste; – generally with off or away. To carry weapons, especially firearms, on one's person.
Examples:
"to pack a boy off to school"
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Pack as a verb (transitive, sports, slang):
To block a shot, especially in basketball.
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Pack as a verb (intransitive, LGBT, _, slang, of a [[drag king]], [[transman]], etc.):
To wear a prosthetic penis inside one's trousers for better verisimilitude.
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Stack as a noun:
A pile. A large pile of hay, grain, straw, or the like, larger at the bottom than the top, sometimes covered with thatch. A pile of similar objects, each directly on top of the last. A pile of poles or wood, indefinite in quantity. A pile of wood containing 108 cubic feet. (~3 m³) An extensive collection
Examples:
"Please bring me a chair from that stack in the corner."
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Stack as a noun:
A smokestack.
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Stack as a noun:
In digital computing. A linear data structure in which the last data item stored is the first retrieved; a LIFO queue. A portion of computer memory occupied by a stack data structure, particularly (the stack) that portion of main memory manipulated during machine language procedure call related instructions. A standard set of software components commonly used together on a system – for example, the combination of an operating system, web server, database and programming language.
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Stack as a noun (math):
A generalization of schemes in algebraic geometry and of sheaves.
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Stack as a noun (geology):
A coastal landform, consisting of a large vertical column of rock in the sea.
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Stack as a noun (library):
Compactly spaced bookshelves used to house large collections of books.
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Stack as a noun (figuratively):
A large amount of an object.
Examples:
"They paid him a stack of money to keep quiet."
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Stack as a noun (military):
A pile of rifles or muskets in a cone shape.
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Stack as a noun (poker):
The amount of money a player has on the table.
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Stack as a noun:
In architecture. A number of flues embodied in one structure, rising above the roof. A vertical drainpipe.
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Stack as a noun (Australia, slang):
A fall or crash, a prang.
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Stack as a noun (bodybuilding):
A blend of various dietary supplements or anabolic steroids with supposed synergistic benefits.
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Stack as a verb (transitive):
To arrange in a stack, or to add to an existing stack.
Examples:
"Please stack those chairs in the corner."
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Stack as a verb (transitive, card games):
To arrange the cards in a deck in a particular manner.
Examples:
"This is the third hand in a row where you've drawn four of a kind. Someone is stacking the deck!"
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Stack as a verb (transitive, poker):
To take all the money another player currently has on the table.
Examples:
"I won Jill's last $100 this hand; I stacked her!"
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Stack as a verb (transitive):
To deliberately distort the composition of (an assembly, committee, etc.).
Examples:
"The Government was accused of stacking the parliamentary committee."
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Stack as a verb (transitive, US, Australia, slang):
To crash; to fall.
Examples:
"Jim couldn′t make it today as he stacked his car on the weekend."
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Stack as a verb (gaming):
To operate cumulatively.
Examples:
"A magical widget will double your mojo. And yes, they do stack: if you manage to get two magical widgets, your mojo will be quadrupled. With three, it will be octupled, and so forth."