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
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.