Question

According to Boyle’s law, the pressure and volume of gas

are inversely proportional. Let Y denote the pressure of the gas and
X denote volume. Suppose the gas has a pressure of Y =200 PSI
when it has a volume of X =4 m3. Find the pressure Y of the gas after
it expands to a volume of x=100 m3..
7. (25 pts) Write the standard form of the equation of a circle with
center (3,4) and radius 4, then graph the circle.

Answer 1

Given: Y = 200 PSI and X = 4 m3

We need to find: Y after expanding to X = 100 m3

From Boyle's Law, we know that:

Y = kPV

where k is a constant, P is the pressure, V is the volume.

Given: Y = 200 PSI and X = 4 m3

Substituting values, we get:

200 = k(4)V

Solving for V, we get:

V = 200/k

Now, we want to find the pressure when the volume is 100 m3.

Substituting X = 100 m3, we get:

Y = k(100)P

Simplifying, we get:

Y = 200/k

So, the pressure after expanding to 100 m3 is:

Y = 200/k

To graph the circle, we need to first write the standard form of the equation of the circle.

The standard form of the equation of a circle with center (a, b) and radius r is:

(x - a)^2 + (y - b)^2 = r^2

In this case, the center of the circle is (3, 4), and the radius is 4.

So, the standard form of the equation of the circle is:

(x - 3)^2 + (y - 4)^2 = 16

To graph the circle, we can use a graphing tool or draw the circle on a coordinate plane. The circle will have the center at (3, 4) and the radius of 4.

BOLD THE ANSWER PORTION USING HTML:

Pressure after expanding to 100 m3:

Y = 200/k

Circle Equation:

(x - 3)^2 + (y - 4)^2 = 16

Explanation:

Answer 2

Step-by-step explanation:Use this Boyle's law calculator to estimate a gas's pressure and volume in an isothermal process.