A. Let us first assume that the gas acts like an ideal
gas so that we can use the ideal gas equation:
PV = nRT
where P is pressure, V is volume, n is number of moles, R
is universal gas constant and T is absolute temperature
In this case, let us assume that nRT = constant so that:
P1V1 = P2V2
400 mm Hg * 400 mL = P2 * 200 mL
P2 = 800 mm Hg
<span>B. The collision of gas with the walls of the container
produces Pressure.</span>
Pretend these are coordinates that you can use to find the slope of the line.
(10, 40) and (15, 60). Fit these into the slope formula to find the slope of the line you are looking for:

and the slope is 4. Now use one of the points and the slope of 4 to solve for b, the y-intercept:
40 = 4(10) + b so b = 0. The equation of the line then is y = 4x + 0 or just
y = 4x
C - (x-3)^2=36
If we expand (x-3)^2=36:
(x-3)(x-3)=36
x^2-3x-3x+9=36
x^2-6x+9=36
Then subtract 36
x^2-6x-27=0