Kinetic Molecular Theory worksheet - Free Printable

Let’s solve Question 1 step by step.

We are given a paragraph with blanks to fill in, and we’re told to use the “statesmen” (which probably means “statements”) above it. Let’s look at the original statements:

> Kinetic Molecular Theory states that gas particles are in constant motion and exhibit bounced elastic collisions.
> The average kinetic energy of all ion of gas particles is directly proportional to absolute temperature only.

Wait — there’s a small typo: “all ion” should probably be “all of” or just “gas particles”. But we’ll work with what’s written and fix it logically as we go.

Now, let’s match each blank in the fill-in-the-blank paragraph to the correct word from the original text.

The paragraph to complete is:

> Kinetic _______________ Theory states that _________________________ are in ________________________ and exhibit ________________________ elastic ________________________.
> The average ________________________ energy of ________________________ gas ________________________ is directly ________________________ absolute ________________________ only.

Let’s break it down line by line.

First sentence:
- “Kinetic _______________ Theory” → From the original, it’s “Kinetic Molecular Theory”, so first blank = Molecular
- “states that _________________________ are in...” → Original says “gas particles”, so next blank = gas particles
- “are in ________________________” → Original says “constant motion”, so this blank = constant motion
- “and exhibit ________________________ elastic ________________________.” → Original says “bounced elastic collisions”. So first part = bounced, second part = collisions

Second sentence:
- “The average ________________________ energy” → Original says “kinetic energy”, so blank = kinetic
- “of ________________________ gas ________________________” → Original says “of all ion of gas particles” — but “ion” is likely a typo for “of” or maybe “all the”. Looking at context, it should be “all gas particles” or similar. Since the original says “all ion of gas particles”, but that doesn’t make sense, and the corrected version in most textbooks is “the average kinetic energy of gas particles”, I think we can safely assume it’s meant to be “gas particles” again. But note: the blank structure is “of ________ gas ________”. So perhaps: “of all gas particles”? Wait — original says “all ion of gas particles” — maybe “ion” is a typo for “one”? Or perhaps it’s “all of gas particles”? Actually, looking closely, it might be a misprint of “all of the gas particles”. But since the blank is split into two parts: “of ________ gas ________”, let’s see:

Original phrase: “The average kinetic energy of all ion of gas particles”

If we ignore “ion” as a typo, and assume it’s supposed to be “of all gas particles”, then:

“of [all] gas [particles]” → so first blank = all, second blank = particles

But wait — the original says “all ion of gas particles” — maybe “ion” is meant to be “the”? That would make it “all the gas particles”. Still, the blanks are structured as “of ________ gas ________”.

Alternatively, perhaps the original meant “of gas particles” without “all ion”. Given that, and to match standard phrasing, I think the intended words are:

“of all gas particles”

Then: “is directly ________________________ absolute ________________________ only.”

Original says: “directly proportional to absolute temperature only”

So: “directly proportional to absolute temperature only”

But note: the blank after “directly” is one word? Wait, let’s count the underscores.

In the user’s image description, it shows:

“directly ________________ __ __ absolute ________________ only.”

That suggests three blanks after “directly”: one long blank, then two short ones (“__ __”), then another long blank.

Looking back at the original statement: “directly proportional to”

So: “directly proportional to absolute temperature”

Wait — no, the phrase is “directly proportional to absolute temperature”

So breaking it:

“directly [proportional] [to] [absolute] [temperature]”

But in the fill-in, it’s:

“directly ________________ __ __ absolute ________________ only.”

Hmm — that seems like:

- First blank after “directly”: “proportional”
- Then two single-letter blanks? That doesn’t fit.

Wait — perhaps the formatting is off. Let me re-read the user’s input:

“The average ________________ energy of ________________ ________________ gas ________________ is directly ________________ __ __ absolute ________________ only.”

Actually, looking at the original problem layout (as described), it’s likely:

After “directly”, there is one blank for “proportional”, then “to” is already implied or part of the next? No.

Wait — in the original statement, it’s “directly proportional to absolute temperature”

So in the fill-in:

“is directly ________________ __ __ absolute ________________ only.”

This might be a formatting issue. Perhaps it’s meant to be:

“is directly ________________ to absolute ________________ only.”

Because “proportional to” is two words, but sometimes “to” is separate.

Given that, and to match standard usage, I believe the intended blanks are:

- After “directly”: proportional
- Then “to” might be pre-filled or part of the next? But the user wrote “__ __” which could mean two separate words.

Wait — let’s look at the exact string from the user:

“directly ________________ __ __ absolute ________________ only.”

That’s four blanks total in that clause? No:

Breakdown:

“directly [blank1] [blank2] [blank3] absolute [blank4] only.”

But that doesn’t make sense.

Perhaps it’s:

“directly ________________ to absolute ________________ only.”

And the “__ __” is a mistake in transcription.

Given the original statement is clear: “directly proportional to absolute temperature”

I think the safest assumption is:

- Blank after “directly”: proportional
- Then “to” is either missing or should be filled — but since there are two underscores “__ __”, maybe it’s “proportional to” as two separate blanks? But “proportional” is one word.

Another possibility: the “__ __” is for “to the” or something, but that doesn’t fit.

Let me check the very first statement again:

“The average kinetic energy of all ion of gas particles is directly proportional to absolute temperature only.”

Ah! Here it is: “directly proportional to”

So in the fill-in, it should be:

“is directly proportional to absolute temperature only.”

But the blanks are shown as:

“directly ________________ __ __ absolute ________________ only.”

This suggests:

- First blank: “proportional” (long blank)
- Then two short blanks: perhaps “to” and nothing? Or maybe it’s a typo.

Given that, and to avoid overcomplicating, I’ll go with the logical fill based on the original text.

So, compiling all:

First sentence:
- Kinetic Molecular Theory
- states that gas particles
- are in constant motion
- and exhibit bounced elastic collisions

Second sentence:
- The average kinetic energy
- of all gas particles [assuming "all ion" was meant to be "all"]
- is directly proportional to absolute temperature only.

But for the “__ __” after “directly”, if we must fill two words, it might be “proportional to”, so:

“directly proportional to absolute temperature”

Yes, that makes sense. The “__ __” likely represents two separate words: “proportional” and “to”.

In the user’s text, it’s written as:

“directly ________________ __ __ absolute ________________ only.”

Which might mean:

- Long blank: “proportional”
- Two short blanks: perhaps “to” and then nothing? Or maybe it’s “proportional to” as two items.

To resolve, I’ll assume the blanks are:

After “directly”: one blank for “proportional”, then “to” is either pre-written or needs to be filled in the next blanks.

But looking at the structure:

“is directly ________________ __ __ absolute ________________ only.”

Perhaps it’s:

“is directly [proportional] [to] [ ] absolute [temperature]” — but that leaves an extra blank.

Another idea: maybe “__ __” is for “to the”, but the original doesn’t have “the”.

I think the best approach is to follow the original statement exactly as given, even with typos, and fill accordingly.

Original: “directly proportional to absolute temperature”

So in the fill-in:

“directly proportional to absolute temperature”

Thus, the two short blanks “__ __” are for “to” and perhaps a space, but since it’s two underscores, maybe “to” takes one, and the other is empty? Unlikely.

Perhaps the formatting is such that “proportional to” is considered as filling the first long blank and the first short blank, but that’s messy.

Let me try to write out the completed paragraph as it should be:

“Kinetic Molecular Theory states that gas particles are in constant motion and exhibit bounced elastic collisions.
The average kinetic energy of all gas particles is directly proportional to absolute temperature only.”

Now, mapping to blanks:

Blank 1: Molecular
Blank 2: gas particles
Blank 3: constant motion
Blank 4: bounced
Blank 5: collisions
Blank 6: kinetic
Blank 7: all (for "of __ gas")
Blank 8: particles (for "gas __")
Blank 9: proportional (after "directly")
Blank 10: to (first of "__ __")
Blank 11: ? (second of "__ __") — this is problematic.

Wait, in the user’s input, it’s:

“directly ________________ __ __ absolute ________________ only.”

That’s four placeholders: one long, then two short, then one long.

But “proportional to” is two words, so perhaps:

- Long blank: “proportional”
- First short blank: “to”
- Second short blank: (nothing? or maybe “the”?)
- Last long blank: “temperature”

But the original doesn’t have “the”.

Perhaps “__ __” is a mistake, and it should be “to” as one word.

Given the constraints, I’ll assume that “__ __” is meant to be filled with “to” and leave the second underscore blank, but that’s not satisfactory.

Another possibility: in some versions, it’s “directly proportional to the absolute temperature”, but the original doesn’t have “the”.

Let’s look back at the very first line of the original statement:

“The average kinetic energy of all ion of gas particles is directly proportional to absolute temperature only.”

It says “absolute temperature”, no “the”.

So, for the fill-in, I think the intended answer is:

“directly proportional to absolute temperature”

And the “__ __” corresponds to “to” occupying one of them, and the other might be a typo or for emphasis.

To move forward, I’ll fill it as:

- After “directly”: “proportional”
- Then “to” for the first short blank
- Leave the second short blank empty or assume it’s part of “to”
- Then “temperature” for the last blank

But since the instruction is to use the given statements, and they say “directly proportional to”, I’ll include “to” as a separate word.

So, final decision for the blanks:

1. Molecular
2. gas particles
3. constant motion
4. bounced
5. collisions
6. kinetic
7. all (assuming "all ion" is "all")
8. particles
9. proportional
10. to (for the first "__")
11. [leave blank or omit] — but since there are two "__", perhaps it's "to" and then nothing, but that's odd.

Wait, in the user’s text, it’s written as:

“directly ________________ __ __ absolute ________________ only.”

Perhaps the “__ __” is for “to the”, but again, not in original.

I recall that in some contexts, it’s “proportional to the absolute temperature”, but the given statement omits “the”.

To stay true to the provided text, I’ll use:

“directly proportional to absolute temperature”

So for the blanks:

- The long blank after “directly”: “proportional”
- The first “__”: “to”
- The second “__”: (perhaps it's a mistake, or maybe it's for “only” but “only” is later)
- The last blank: “temperature”

But “only” is already written after the last blank.

Perhaps the “__ __” is meant to be “to” as one word, and the underscores are miscounted.

Given the time, I’ll proceed with the most logical fill based on standard knowledge and the given text.

Completed paragraph:

Kinetic Molecular Theory states that gas particles are in constant motion and exhibit bounced elastic collisions.
The average kinetic energy of all gas particles is directly proportional to absolute temperature only.

For the “__ __” after “directly”, I’ll assign “proportional” to the long blank, “to” to the first short blank, and leave the second short blank as is or assume it's not needed. But since the problem has it, perhaps it's “to” and then a space, but that's not a word.

Another idea: maybe “__ __” is for “in proportion” but that doesn't fit.

I think there might be a formatting error in the user's description. In many such worksheets, it's simply “directly proportional to absolute temperature”, with “proportional to” as two words filling two blanks.

So, I'll go with:

- Blank after “directly”: “proportional”
- First “__”: “to”
- Second “__”: (omit or consider as part of the phrase)
- Last blank: “temperature”

But to match the number of blanks, let's list all blanks in order as per the user's input:

From the user:

"Kinetic _______________ Theory states that _________________________ are in ________________________ and exhibit ________________________ elastic ________________________.
The average ________________________ energy of ________________________ ________________ gas ________________________ is directly ________________________ __ __ absolute ________________________ only."

Counting the blanks:

1. After "Kinetic" -> 1 blank
2. After "that" -> 1 blank (for subject)
3. After "in" -> 1 blank
4. After "exhibit" -> 1 blank
5. After "elastic" -> 1 blank
6. After "average" -> 1 blank (for type of energy)
7. After "of" -> 1 blank
8. After that blank -> another blank (before "gas")
9. After "gas" -> 1 blank
10. After "directly" -> 1 blank
11. Then "__ __" -> 2 blanks
12. After "absolute" -> 1 blank

Total 12 blanks.

From the original text:

- "Kinetic Molecular Theory" -> blank 1: Molecular
- "gas particles" -> blank 2: gas particles
- "constant motion" -> blank 3: constant motion
- "bounced" -> blank 4: bounced
- "collisions" -> blank 5: collisions
- "kinetic" -> blank 6: kinetic
- "all ion of gas particles" -> for blanks 7,8,9: "all", "ion", "particles"? But "ion" is likely a typo.

Perhaps "all ion" is meant to be "all the", so blank 7: all, blank 8: the, blank 9: particles

Then "directly proportional to" -> blank 10: proportional, blank 11: to, blank 12: ?

Then "absolute temperature" -> blank 12: temperature

But blank 12 is after "absolute", so yes.

And the "__ __" after "directly" is blanks 11 and 12? No, blank 10 is after "directly", then "__ __" are two more, then "absolute", then another blank.

Let's map:

Blanks:

1. Molecular
2. gas particles
3. constant motion
4. bounced
5. collisions
6. kinetic
7. all (from "all ion")
8. ion (but this is probably wrong)
9. particles (from "gas particles")
10. proportional (after "directly")
11. to (first of "__ __")
12. temperature (after "absolute")

But blank 8 is "ion", which is likely a typo for "the" or should be omitted.

Given that, and to make it correct, I think "ion" is a mistake, and it should be "the" or nothing.

In standard physics, it's "the average kinetic energy of gas particles", so perhaps blank 7: (empty), blank 8: gas, blank 9: particles — but that doesn't fit.

Another way: "of ________________ ________________ gas ________________________"

If we put "all" in first, "the" in second, "particles" in third, then "of all the gas particles"

But the original says "all ion of gas particles", which is awkward.

Perhaps "ion" is "one", so "all one of gas particles" — still bad.

I think the best course is to correct the typo and use "all gas particles", so for blanks 7,8,9: "all", "", "particles" — but that leaves a blank.

Or perhaps blank 7: "all", blank 8: "of", blank 9: "particles" — but "of" is already before.

The phrase is "of ________________ ________________ gas ________________________"

So if we put "all" in first blank, "the" in second, "particles" in third, then "of all the gas particles"

And "ion" was a typo for "the".

That makes sense.

Then for the end: "directly ________________ __ __ absolute ________________ only."

With "proportional to" for the first two of those, and "temperature" for the last.

So blanks 10,11,12: "proportional", "to", "temperature"

And the "__ __" is blanks 11 and 12? No, blank 10 is after "directly", then "__ __" are two additional blanks, then "absolute", then another blank.

So:

- Blank 10: proportional
- Blank 11: to (first of "__ __")
- Blank 12: (second of "__ __") — what to put here?
- Then after "absolute": blank 13: temperature

But earlier I counted 12 blanks, but now it's more.

Let's recount from the user's string:

"Kinetic _______________ Theory" -> 1 blank
"states that _________________________" -> 1 blank (total 2)
"are in ________________________" -> 1 blank (3)
"and exhibit ________________________" -> 1 blank (4)
"elastic ________________________." -> 1 blank (5)
"The average ________________________ energy" -> 1 blank (6)
"of ________________________ ________________ gas ________________________" -> 3 blanks (7,8,9)
"is directly ________________________ __ __ absolute ________________________ only." -> here, "directly ________________" is 1 blank (10), then "__ __" is 2 blanks (11,12), then "absolute ________________________" is 1 blank (13)

So 13 blanks.

From original text:

- "Molecular" for 1
- "gas particles" for 2
- "constant motion" for 3
- "bounced" for 4
- "collisions" for 5
- "kinetic" for 6
- For 7,8,9: "all", "ion", "particles" — but "ion" is likely "the", so "all", "the", "particles"
- For 10,11,12,13: "proportional", "to", (what for 12?), "temperature"

For blank 12, since it's between "to" and "absolute", and the original has "to absolute", perhaps blank 12 is empty or "the", but not in original.

Perhaps " __ __ " is for "to the", so blank 11: "to", blank 12: "the", then blank 13: "temperature"

And the original statement omitted "the", but it's commonly included.

In many sources, it's "proportional to the absolute temperature".

So I'll go with that.

Final assignment:

1. Molecular
2. gas particles
3. constant motion
4. bounced
5. collisions
6. kinetic
7. all
8. the (correcting "ion" to "the")
9. particles
10. proportional
11. to
12. the (adding "the" for grammar)
13. temperature

But the original statement does not have "the" before "absolute temperature", but it's acceptable.

To be precise, let's stick to the given text as much as possible.

Given text: "directly proportional to absolute temperature"

So no "the".

Therefore, for blanks 11 and 12, if we have to fill two words, perhaps it's "to" and then nothing, but that's not good.

Perhaps the " __ __ " is a single blank for "to", and the underscores are misaligned.

I think for the sake of completing the task, I'll use:

- Blank 10: proportional
- Blank 11: to
- Blank 12: (leave as is or omit)
- Blank 13: temperature

But since the problem requires filling, and to match common practice, I'll include "the" for blank 12.

So the completed paragraph is:

Kinetic Molecular Theory states that gas particles are in constant motion and exhibit bounced elastic collisions.
The average kinetic energy of all the gas particles is directly proportional to the absolute temperature only.

This makes grammatical sense and matches the intent.

For Question 2, the user didn't ask to solve it; the options are only for Question 1 implicitly, but the user said "solve the problem", and there are two questions.

Looking back, the user uploaded an image with two questions, but in the response format, it's for solving the problem, and the options are false, so perhaps only Question 1 is to be solved, or both.

The user said: "Solve the problem accurately." and the image has two questions.

But in the initial request, it's "helping a student solve homework problems", and the image contains two tasks.

However, in the response format, it's designed for one problem, and the options are for explanation etc., which are false.

Perhaps I should solve both questions.

For Question 2, it's a diagram showing solid, liquid, gas with properties.

The task is not specified; it's just a diagram. In the image, it's labeled "Question 2", but there's no instruction what to do with it.

In the user's input, for Question 2, it's just the diagram with labels, no question asked.

Whereas for Question 1, there is a fill-in-the-blank task.

So probably, only Question 1 is to be solved, as it has a clear task.

The user might expect only Question 1 to be answered.

To be safe, I'll assume that the "problem" refers to Question 1, as it has instructions.

So, for Final Answer, I'll provide the filled-in paragraph for Question 1.

Based on the above reasoning, here is the completed paragraph:

Kinetic Molecular Theory states that gas particles are in constant motion and exhibit bounced elastic collisions.
The average kinetic energy of all the gas particles is directly proportional to the absolute temperature only.

But to match the blanks exactly as per the structure, and since "ion" was likely "the", I'll use "all the gas particles".

For the " __ __ " after "directly", I'll use "to the" for the two blanks.

So in the sequence:

Blanks filled as:

1. Molecular
2. gas particles
3. constant motion
4. bounced
5. collisions
6. kinetic
7. all
8. the
9. particles
10. proportional
11. to
12. the
13. temperature

But blank 12 is the second of "__ __", and blank 13 is after "absolute".

Yes.

So the final answer is the completed paragraph with these words.

Since the user may expect the answers in order, I'll list them or write the paragraph.

But the instruction is to provide the final answer after reasoning.

So for Final Answer, I'll write the completed paragraph.

Note: In some curricula, "bounced" might be "perfectly" or something else, but the given text says "bounced", so we use that.

Also, "ion" is corrected to "the" for sense.

So, here is the solution.