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3 years ago

As pressure decreases, temperature

1 answer:

5 0

Temperature doesn't do anything, the boiling point of stuff decreases. If you put water in a vacuum chainber then it will start to boil

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The air in a room with volume 180 m3 contains 0.25% carbon dioxide initially. fresher air with only 0.05% carbon dioxide flows i

Butoxors [25]

Answer:

$p(t)=\frac{1}{20}(1+2e^{-t/90})$

Explanation:

Let $p(t)$ be % of $CO_2$ at time $t$ (time in minutes).

Amount of $CO_2$ in room=Volume of room $\times p$

Rate of change of $CO_2$ in room=Volume of room x $\frac{dp}{dt}$

$=180\times \frac{dp}{dt}$

Rate of inflow of $CO_2$ = $(\% CO_2 \ in\ Fresh\ Air \times \frac{1}{100})\times(Rate \ of Inflow\ of \ air)$

$=(0.05\times \frac{1}{100})\times 2=\frac{1}{100}$

Rate of $CO_2$ outflow

$(\% CO_2 \ in\ Fresh\ Air \times \frac{1}{100})\times(Rate \ of Outflow\ of \ air)\\=(p\times\frac{1}{100})\times2=\frac{p}{50}$

Therefore rate of change of $CO_2$ is $\frac{1}{100}-\frac{p}{50}$

% rate of change is $100\times \ Rate of \ Change=\frac{1}{10}-2p$

Therefore we have:

$180\frac{dp}{dt}=\frac{1}{10}-2p\\\frac{dp}{dt}=\frac{1-20p}{1800}\\\\\frac{dp}{20p-1}=-\frac{dt}{1800}$

Integrate both:

$\int\limits \frac{dp}{20p-1}=\int\limits-\frac{dt}{1800}$

$\frac{1}{20}In|20p-1|=-\frac{t}{1800}+In \ C$

In $|20p-1|=-\frac{t}{90}+$ In $K$

$+20In \ C=+In \ K$

Raise both sides to base $e$ ,

$20p-1=e^{-\frac{t}{90}+In \ K}\\\\p=\frac{1}{20}(1+Ke^{-t/90})$

Initially, there's only 0.25% of $CO_2$ ,

Now substitute $p=0.25$ and $t=0$

$0.25=\frac{1}{20}(1+K)\\K=4$

$p=\frac{1}{20}(1+2e^{-t/90})$

8 0

3 years ago

Which of the following statements are true?Check all that apply.

MaRussiya [10]

Answer:

1.The Sun is located at one of the foci of the planets' elliptical orbits.

2.The path of the planets around the Sun is elliptical in shape.

Explanation:

As per Kepler's law of planet motion we know that all planets revolve around the sun in elliptical path in such a way that position of Sun must be at one of the focii of the path

So all planets are in elliptical path always

Position of sun is always at one of the focus

so correct answer will be

1.The Sun is located at one of the foci of the planets' elliptical orbits.

2.The path of the planets around the Sun is elliptical in shape.

4 0

3 years ago

The mass of an atom is ________________________.

andreyandreev [35.5K]

I'd say d.) Concentrated in the nucleus.

This is because Nucleus consists of protons and neutrons; contributing to some mass, whereas Electron's mass is almost negligible ( 9.1 x 10^-31 kg)

Hope this answers your question!

8 0

3 years ago

an ant weighing 200 N and wearing platform heels with a total area of 7 square centimeters would exert how much pressure?

iVinArrow [24]

The pressure exerted is $2.86\cdot 10^5 Pa$