An ideal gas is enclosed in a cylinder with a movable piston on top of it. the piston has a mass of 8,000 g and an area of 5.00 cm^2 and is free to slide up and down, keeping the pressure of the gas constant. how much work is done on the gas as the temperature of 0.205 mol of the gas is raised from 10.0°c to 250°c?

Ahot-air balloon takes off from the ground traveling vertically with a constant upward acceleration of magnitude g/4. after time interval δt, a crew member releases a ballast sandbag from the basket attached to the balloon. how many seconds does it take the sandbag to reach the ground? (express your answer in terms of δt)