A sample of ideal gas havingfdegrees of freedom and containingnmoles are confined to a cylinder with a frictionless piston. The pressure in and out of the cylinder are equal. However, the temperature ofthe gas inside the cylinder is To while the outside is a heat reservoir at temperature TH, assumed greater than To. As the gas inside the cylinder absorbs heat from the outside it begins an isobaric expansionuntil its temperature reaches TH. Required:
Determine an expression for the heat transferred to the gas from the heat reservoir in terms of f, n, T., To, and the gas constant R.

Your starship, the aimless wanderer, lands on the mysterious planet mongo. as chief scientist-engineer, you make the following measurements: a 2.50-kg stone thrown upward from the ground at 14.0 m/s returns to the ground in 5.70 s ; the circumference of mongo at the equator is 2.20×10^5 km ; and there is no appreciable atmosphere on mongo. (a) the starship commander, captain confusion, asks for the following information: what is the mass of mongo? (b) if the aimless wanderer goes into a circular orbit 2.20×10^4 km above the surface of mongo, how many hours will it take the ship to complete one orbit? (c) an unmanned spacecraft is in a circular orbit around the moon, observing the lunar surface from an altitude of 44.0 km . to the dismay of scientists on earth, an electrical fault causes an on-board thruster to fire, decreasing the speed of the spacecraft by 23.0 m/s . if nothing is done to correct its orbit, with what speed (in km/h) will the spacecraft crash into the lunar surface?