The initial volume of a gas cylinder is 750.0 ml. if the pressure of a gas inside the cylinder changes from 840.0 mm hg to 360.0 mm hg, what is the final volume the gas occupies?

Step-by-step explanation:

Use the Boyle's law which states that the pressure of a gas in a closed container is inversely proportional to the volume of the container, when the temperature is constant. Mathematically this is:

 (1)

Where:

Before attempting to solve the problem, let's do the pertinent conversions:

So, we got:

Now, let's isolate from (1) in order to find the final volume:

the volume is the product of the area of the base, 3x(3x+4), and the height, 3x-1

step-by-step explanation:

solution:

we have to construct

∠m nt ≅ ∠p qr

the steps to draw this construction are

step 1: use a compass to draw an arc from point q which intersects the side pq at point a and the side qr at point b.

step 2: draw a segment nt and use the same width of the compass to draw an arc from point n which intersects the segment nt at a point x.

step 3:

step 4: join points n and y using a straightedge.

step 3:

option (d).maintaining the same width of the compass as ab, draw an arc from point x such that it intersects the arc drawn from n in a point y.

to draw   congruent angles , 1. width of compasses while drawing two angles should be same i.e from point at which angle has to be drawn, 2.the distance between the two points where the compass intersects the two sides should be same while drawing any two congruent angles.