A cylinder measuring 7.7 cm wide and 9.3 cl high is filled with gas. The piston is pushed down with a steady force measured to be 17 N. Calculate the pressure of the gas inside the cylinder in Kpa. Round to two sig figs

Answer 1

To calculate the pressure of the gas inside the cylinder, we can use the formula for pressure:

Pressure = Force / Area

First, we need to calculate the area of the cylinder's base. The base of a cylinder is circular, so we can use the formula for the area of a circle:

Area = π * (radius)^2

Given that the cylinder's width is 7.7 cm, the radius (r) is half of that, which is 3.85 cm. We need to convert the radius to meters:

radius = 3.85 cm = 0.0385 m

Now we can calculate the area:

Area = π * (0.0385 m)^2 = 0.004675 m^2

Next, we can substitute the values into the pressure formula:

Pressure = 17 N / 0.004675 m^2

Pressure = 3639.572

Rounding to two significant figures, the pressure of the gas inside the cylinder is 3600 KPa.