The pressure, P, of a gas varies inversely with its volume, V. Pressure is measured in units of Pa. Suppose that a particular amount of gas is initially at a pressure of 84 Pa at a volume of 51 L. If the volume is expanded to 153 L, what will the new pressure be?A.
495 Pa

B.
153 Pa

C.
17 Pa

D.
28 Pa

Answers

Answer 1
Answer: From the problem, pressure is inversely proportional to its volume. It can be represented as:

P = k (1/V)

where k is the proportionality constant. To solve the problem, we use the information given as follows:

P1 = k (1/V1)
P2 = k (1/V2)
Since k is equal for both equations, we can substitute one equation to the other. We obtain,

P1V1 = P2V2
84 Pa x 51 L = P2 x 153 L
P2 = 28 Pa

Thus, the answer is D. This can be expected since the volume increased and based from the equation pressure and volume are inversely related.

Answer 2
Answer: D, 28 pa. I just took this test

Related Questions

Michael borrows money from his uncle, who is charging him simple interest using the formula I=prt. to figure out what the interest rate,r,is, Michael rearranges the formula to find r his new formula is r equals
The blades of a windmill turn on an axis that is 30 feet from the ground. The blades are 10 feet long and complete 2 rotations every minute. Write a sine model, y = asin(bt) + k, for the height (in feet) of the end of one blade as a function of time t (in seconds). Assume the blade is pointing to the right when t=0 and that the windmill turns counterclockwise at a constant rate.
2(8n2 + 9n) ++ 9n) + 3(4n- 7n)
Help with math problem
13. The third term in an arithmetic sequence is 10 and the fifth term is 26. If the first term is , which is an equation for the nth term of this sequence?

Whats the difference between 7 7/8 - 3 1/4

Answers

7 7/8 - 3 1/4

7 7/8 = 6.125

3 1/4 = 0.75

so 6.125 - 0.75

= 5.375

as a  mixed fraction the answer is   5 3/8

What is the surface area of the figure?Solid Figures, Part 1


A.300 cm2

B.220 cm2

C.390 cm2

D.195 cm2

Answers

What is the surface area of the figure?Solid Figures, Part 1


A.300 cm2

B.220 cm2

C.390 cm2

D.195 cm2

The surface area of the figure is 220 cm2. The answer is letter B.

Which of the following occurs within the solution process for ∛(5x-2)-∛4x=0A.)squaring both sides once
B.)squaring both sides twice
C.)cubing both sides once
D.)cubing both sides twice

Answers

Answer:

cubing both sides once

Step-by-step explanation:

∛(5x-2)-∛4x=0

To solve this equation , we move second term to the other side

Add cube root (4x) on both sides

\sqrt[3]{5x-2} =\sqrt[3]{4x}

Now we remove cube root.

To remove cube root we take cube on both sides because cube and cube root will get cancelled.

(\sqrt[3]{5x-2})^3=(\sqrt[3]{4x})^3

5x-2=4x

So, cubing both sides once

Answer:

C

Step-by-step explanation:

rearrangeing:-

∛(5x - 2) = ∛((4x)

Cubing both sides:-

5x - 2 = 4x

I need these answers ASAP

Answers

Answer:

irratrrational Numbers

whole

real

Step-by-step explanation:

Four consecutive integers that add up to 314

Answers

77+78+79+80=314 Is Your Answer

write an equation of the parabola that has the same shape as the graph of f (x)=4x^2, but with the point (-9,2) as the vertex

Answers

The equation of the parabola is y = a(x - h)^2 + k, where (h,k) is the coordinates of the vertex. In this case, the equation would be y = 4(x + 9)^2 + 2.

How will you define parabola?

Any point on a parabola is equally distant from the directrix, a fixed straight line, and the focus, a fixed point. An U-shaped plane curve is a parabola.

What is a parabola in a graph?

Drawing a parabola for the quadratic function f(x) = ax^(2) + bx + c results in a U-shaped curve. When an is smaller than zero, the parabola's graph is downward (or opens downward). When the value of an is greater than 0, the parabola's graph ascends (or opens up).

Is a parabola a shape?

Every point on a parabola is equally distant from both a focus, or central point, and a directrix, or connecting line. It is a U-shaped curve that frequently appears in math.


Given,

Graph f(x) = 4x^(2)

Vertex = (-9,2) = (h,k)

So, We can represent the equation in the form of

f(x) = y = a (x-h)^(2) + k

           = 4 (x+9)^(2) + 2

Now simplifying the equation y = a (x-h)^(2) + k to y = ax^(2) + bx +c

 f(x) = 4 (x+9)^(2) + 2

       = 4x^(2) + 72x + 326

∴ f(x) = 4x^(2) + 72x + 326 is the equation of parabola

Learn more about the parabola here:
brainly.com/question/64712
#SPJ2

following f(x)=af(b(x-h))+k as my general guideline for writing transformations, you need to know the point (h,k) serves as the "new origin" of the function.
in your original equation (the squared function),
a=4
b=1
h=0
k=0
we need h=-9 and k=2, so plopping those numbers in gives you
f(x)=4(x+9)^2 +2