Math  /  Data & Statistics

Questionjas that has a constant emperature and number of particles. Use the data to answer these two questions.
When the volume of the gas is doubled, the pressure of the gas \begin{tabular}{|c|c|c|} \hline & (L)(\mathrm{L}) & (mmHg)(\mathrm{mm} \mathrm{Hg}) \\ \hline 1 & 6.00 & 1600 \\ \hline 2 & 8.00 & 1200 \\ \hline 3 & 12.0 & 800 \\ \hline 4 & 16.0 & 600 \\ \hline 5 & 24.0 & 400 \\ \hline \end{tabular} becomes \qquad .
Tap to select answer.
Which set of trials demonstrate this relationship? Select all that apply. Rows 1 and 2 Rows 2 and 4 Rows 1 and 3 Rows 2 and 5 Rows 1 and 4 Rows 3 and 4 Rows 1 and 5 Rows 3 and 5

Studdy Solution

STEP 1

What is this asking? We're looking at how the pressure of a gas changes when its volume changes, and we need to figure out what happens to the pressure when the volume doubles, and which pairs of measurements show that doubling effect. Watch out! Make sure to compare the pressures when the volume *exactly* doubles, not just increases!
Also, remember that pressure and volume have an *inverse* relationship, so if one goes up, the other goes down!

STEP 2

1. Find the Pressure Change Factor
2. Identify the Doubled Volumes
3. Match the Pressure Change

STEP 3

Let's **figure out** what happens to the pressure when the volume doubles.
If we double something, we multiply it by 22.
If the volume is VV, then doubling it gives us 2V2 \cdot V.

STEP 4

Since pressure and volume have an inverse relationship, if the volume gets multiplied by 22, the pressure gets *divided* by 22.
So, the pressure becomes P/2P/2, which means it's *halved*.

STEP 5

Now, let's **look** at the table and **find** pairs of volumes where one is double the other.
We can see that 1212 is double 66, 1616 is double 88, and 2424 is double 1212.

STEP 6

Let's **check** the pressures for the pairs we found.
When the volume goes from 66 to 1212 (Rows 1 and 3), the pressure goes from 16001600 to 800800. 1600/2=8001600 / 2 = 800, so the pressure is halved!
This **matches** our prediction!

STEP 7

When the volume goes from 88 to 1616 (Rows 2 and 4), the pressure goes from 12001200 to 600600. 1200/2=6001200 / 2 = 600, so the pressure is halved again!
Another **match**!

STEP 8

Finally, when the volume goes from 1212 to 2424 (Rows 3 and 5), the pressure goes from 800800 to 400400. 800/2=400800 / 2 = 400, and the pressure is halved once more!
Yet another **match**!

STEP 9

When the volume of the gas is doubled, the pressure becomes *halved*.
The sets of trials that demonstrate this relationship are Rows 1 and 3, Rows 2 and 4, and Rows 3 and 5.

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