If the gas in the cylinder is heated, it expands, pushing the piston and weight upward. If the piston and weight are raised 0.83 m, what is the work done by the gas in kJ

15.848 kJ

Explanation:

A gas is confined in a 0.47 m diameter cylinder by a piston, on which rests a weight. The mass of the piston and weight together is 150 kg. The local acceleration of gravity is 9.813m⋅s−2,and atmospheric pressure is 101.57 kPa

Solution:

Given that the diameter (d) = 0.47 m, the mass of piston and weight (m) = 150 kg, the acceleration due to gravity (g) = 9.813 m/s² and the atmospheric pressure () = 101.57 kPa = 101.57 * 10³ Pa

The area (A) = πd²/4 = π * 0.47² / 4 = 0.1735 m²

The force due to atmosphere (Fa) = * A = 101.57 * 10³ * 0.1735

Fa = 17622 N

Force due to piston and mass () = m * g = 150 * 9.813 = 1471.95 N

The total force exerted (F) = + Fa

F = + Fa  

F = 17622 N + 1471.95 N

F = 19093.95 N

The work done by the gas (W) = total force * change in distance

W = F * Δx

W = 19093.95 N * 0.83 m

W = 15848 J

W = 15.848 kJ

given data:

determine the horse power (h.p) = ?

force applied to move the box(f) = 10 pounds,

box lifted from a distance         (d) = 3 feet

time taken to lift                         (t) = 10 sec,

the horse power is defined as amount of work required to move a load. the horse power is equal to 550 foot-pound per second

                  1 h.p   = 550 foot-pound/second

it can also be defined as the the load that need to be move a body for certain distance in a certain amount of time.

mathematically,

                      h.p = (force × distance)/ time

                            = (10 × 3)/ 10

                            = 30/10

                            = 3 foot -pound/sec

hence, the horse power is needed to move the box is 3 foot-pound/second

important note: 1 h.p = 550 foot-pound/second = 746 watts

hello there!

your answer is a “generator”

a generator does not create energy but instead it transforms it.

it’s basically a motor working in reverse.