A sealed cubic container of side length 0.40 m is filled with an ideal gas at uniform…
PHYSICS · Multi-part · CBSE · Physics · Mechanical Properties of Fluids · Mechanical Properties of Fluids
Problem
A sealed cubic container of side length 0.40 m is filled with an ideal gas at uniform pressure 2.0×105Pa and temperature. Consider only the forces that the gas exerts on the six interior faces of the cube. Ignore the weight of the gas.
(a) Calculate the magnitude of the force exerted by the gas on a single face of the cube.
(b) Represent each of the six force vectors by labeling the faces +x, −x, +y, −y, +z, and −z and indicating the direction of the force on each face.
(c) Determine the vector sum of all six forces calculated in part (a).
(d) Provide a physical interpretation of your result in part (c), explaining how it is consistent with the static equilibrium of the cube.