Consider two identical containers, one contains 1.5 moles of nitrogen gas at 250K and the other contains 1.5 moles of nitrogen gas at 350K. Which of the following statements is TRUE? *
0 points

The pressure exerted by the nitrogen gas (N2) is the same in both containers
The average speed of the nitrogen gas (N2) molecules is higher in container #1 than in container #2
The rate at which nitrogen gas (N2) molecules collide with the container walls is lower in container #1 than in container #2
The average kinetic energy of the nitrogen gas (N2) molecules is the same in both containers

We want to see which of the given statements is true for the identical containers with nitrogen gas.

The correct statement is:

"The rate at which nitrogen gas (N2) molecules collide with the container walls is lower in container #1 than in container #2"

Remember the ideal gas equation:

P*V = n*R*T

Where P is the pressure, V is the volume, n is the number of moles, R is a constant, and T is the temperature.

Both gases are in identical containers, so both have the same volume. Also both containers have 1.5 moles of nitrogen, so n is the same number for both containers, and R is a constant, so it is the same for both.

The thing that is different is the temperature, for container 1 we have a temperature of 250K, while for container 2 we have a temperature of 350K, then we can write two pressure equations:

[tex]P_1 = \frac{n*R}{V}*(250k)\\\\P_2 = \frac{n*R}{V}*(350k)[/tex]

Where n*R/V is a constant term.

Then is really clear to see that the pressure exerted by nitrogen will be larger in container 2, because it increases linearly with the temperature and the temperature is larger in container 2.

Also remember that increases in temperature manifest as an increase in the kinetic energy of the molecules of the gas, thus, the container with a larger temperature will have molecules with larger kinetic energy (thus, larger mean velocity)

From the given statements, the only one that is true is:

"The rate at which nitrogen gas (N2) molecules collide with the container walls is lower in container #1 than in container #2"

This collision with the walls is a representation of pressure, this says that container 1 has less pressure than container 2, which is true.

If you want to learn more, you can read:

https://brainly.com/question/16968997

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Item 3

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You are employed by the Indiana Pacers to model attendance at their regular season basketball games. Paid attendance is your dependent variable, and you employ a variety of independent variables: the Pacers' current winning percentage (WINPCT), their opponents current winning percentage (VISPCT), the number of all-star votes received by the visiting team, in millions (ALLSTAR), the fraction of minutes played by foreign players on the visiting team (FOREIGN), and the number of home games for the Pacers in the next week (NEXTWEEK). Your regression output is presented below.
Regression Statistics Multiple R R Square Adjusted R Square Standard Error Observations 164 ANOVA df SS MS Regression 46772032 9354406 Residual 95614595 605155.7 Total 142386627 Coefficients Standard Error t Stat Intercept 12300.869 357.106 34.446 WINPCT 1966.862 580.215 3.390 VISPCT 1477.604 359.496 4.110 ALLSTAR 769.433 112.472 6.841 FOREIGN -503.472 NEXTWEEK -150.563 60.396 -2.493 You included the fraction of minutes played by foreign players on the visiting team (FOREIGN) because one of the Pacers executives believed that foreign players decrease attendance. How would you respond to the executives claim?
You included the fraction of minutes played by foreign players on the visiting team (FOREIGN) because one of the Pacers executives believed that foreign players decrease attendance. How would you respond to the executives claim?
Select one:
a. "You are correct: a team composed entirely of foreign players would draw 503 fewer fans than a team composed entirely of domestic players."
b. "You are correct: a team composed entirely of foreign players would draw on average 503 fewer fans than a team composed entirely of domestic players."
c. "You are incorrect: my model proves that the percentage of foreign players has no effect on attendance."
d. "You are incorrect: foreign players actually increase attendance."
e. "You may or may not be correct: we have insufficient evidence in this model that foreign players decrease attendance." Clear my choice

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This 95% confidence level requires _____subjects. ​(Round up to the nearest​ subject.)

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A.Doubling the required accuracy nearly quadruples the sample size.

B.Doubling the required accuracy nearly halves the sample size.

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​(d) How many subjects are needed to estimate the mean number of books read the previous year within four books with 99% confidence?

This 99% confidence level requires _____ subjects. ​(Round up to the nearest​ subject.)

This 99% confidence level requires ____subjects. ​(Round up to the nearest​subject.)

Compare this result to part (a). How does increasing the level of confidence in the estimate affect sample​ size? Why is this​reasonable?

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D. Increasing the level of confidence increases the sample size required. For a fixed margin of​ error, greater confidence can be achieved with a larger sample size.

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