Question

What is the pressure of a cavity that has 17 cm on its longest axis, the other two measures 15 and 23 cm. A volume of 4600cm3

217

likes
1087 views

Answer to a math question What is the pressure of a cavity that has 17 cm on its longest axis, the other two measures 15 and 23 cm. A volume of 4600cm3

Expert avatar
Rasheed
4.7
105 Answers
Para encontrar a pressão de uma cavidade, podemos usar a fórmula da pressão em um gás, que é dada por:

P = \frac{nRT}{V}

onde:
- P é a pressão do gás (que queremos encontrar)
- n é o número de mols do gás (vamos assumir que seja 1 mol)
- R é a constante dos gases (0.082 atm L / mol K)
- T é a temperatura do gás (não foi fornecida no problema)
- V é o volume do gás (4600 cm³)

Além disso, usaremos a fórmula do volume de uma elipse, que é dada por:

V_{elipse} = \frac{4}{3}\pi abc

onde:
- a, b e c são os semi-eixos da elipse

Neste caso, como a cavidade é elipsoidal e possui os eixos de medidas 17 cm, 15 cm e 23 cm, temos que a = 17/2, b = 15/2 e c = 23/2.

Substituindo na fórmula do volume da elipse:

4600 = \frac{4}{3}\pi \times \frac{17}{2} \times \frac{15}{2} \times \frac{23}{2}

4600 = \frac{4}{3}\pi \times \frac{17 \times 15 \times 23}{8}

4600 = \frac{4}{3}\pi \times \frac{5865}{8}

4600 = \frac{4}{3}\pi \times 733.125

4600 = 977.5\pi

\pi = \frac{4600}{977.5} \approx 4.71 \, \text{cm}^2

Agora podemos substituir o valor de \pi encontrado e o volume na fórmula da pressão:

P = \frac{1 \times 0.082 \times T}{4600}

P = \frac{0.082T}{4600}

Portanto, a pressão da cavidade é \frac{0.082T}{4600} atm.

\boxed{P = \frac{0.082T}{4600} \, \text{atm}}

Frequently asked questions (FAQs)
Math question: Find the product of (x + 3)(x - 2) using the factoring formula.
+
Math question: "What is the factored form of the quadratic equation x^2 + 7x + 12?" (
+
What is the value of the sine of an angle A if the opposite side is 10 and the hypotenuse is 20?
+
New questions in Mathematics
Y=-x^2-8x-15 X=-7
58+861-87
We have spent 1/4 of the inheritance on taxes and 3/5 of the rest on buying a house. If the inheritance was a total of €150,000 How much money do we have left?
find all matrices that commute with the matrix A=[0 1]
What is the total tolerance for a dimension from 1.996" to 2.026*?
20% of 3500
find f(x) for f'(x)=3x+7
3. A rock is dropped from a height of 16 ft. It is determined that its height (in feet) above ground t seconds later (for 0≤t≤3) is given by s(t)=-2t2 + 16. Find the average velocity of the rock over [0.2,0.21] time interval.
The market for economics textbooks is represented by the following supply and demand equations: P = 5 + 2Qs P = 20 - Qd Where P is the price in £s and Qs and Qd are the quantities supplied and demanded in thousands. What is the equilibrium price?
A researcher is interested in voting preferences on change of the governing constitution in a certain country controlled by two main parties A and B. A questionnaire was developed and sent to a random sample of voters. The cross tabs are as follows Favour Neutral Oppose Membership: Party A 70 90 85 Party B 50 50 155 Test at α = 0.05 whether party membership and voting preference are associated and state the conditions required for chi-square test results to be valid.
3/9*4/8=
TEST 123123+123123
User One of the applications of the derivative of a function is its use in Physics, where a function that at every instant t associates the number s(t), this function s is called the clockwise function of the movement. By deriving the time function we obtain the velocity function at time t, denoted by v(t). A body has a time function that determines its position in meters at time t as S(t)=t.³√t+2.t . Present the speed of this body at time t = 8 s.
find missing measure for triangle area = 48 m square base = 10m heaighy = ? m
94 divided by 8.75
2x-5-x+2=5x-11
Given two lines 𝐿1: 𝑥 + 4𝑦 = −10 and 𝐿2: 2𝑥 − 𝑦 = 7. i. Find the intersection point of 𝐿1 and 𝐿2.
a) 6x − 5 > x + 20
the product of a 2-digit number and a 3-digit number is about 50000, what are these numbers
A plant found at the bottom of a lake doubles in size every 10 days. Yeah It is known that in 300 days it has covered the entire lake, indicate how many days it will take to cover the entire lake four similar plants.