8) Gas is contained in a 6.00-L vessel at a temperature of 17.0C and a pressure of 6.00 atm.

(a) Determine the number of moles of gas in the vessel. (b) How many molecules are in the vessel?

9) The highest recorded waterfall in the world is found at Angel Falls in Venezuela. Its longest single waterfall has a height of 807 m. If water at the top of the falls is at 13.6C,what is the maximum temperature of the water at the bottom of the falls? Assume all the kinetic energy of the water as it reaches the bottom goes into raising the water's temperature.

10) A 4.00-g copper coin at 22.5C drops 55.0 m to the ground.

(a) Assuming 55.0% of the change in gravitational potential energy of the coin-Earth system goes into increasing the internal energy of the coin, determine the coin's final temperature. (b) Does the result depend on the mass of the coin?YesNoexplain.

11) What mass of water at 30.0C must be allowed to come to thermal equilibrium with a 1.90-kg cube of aluminum initially at 150C to lower the temperature of the aluminum to 61.0C? Assume any water turned to steam subsequently recondenses.

12) A 110-g cube of ice at 0C is dropped into 1.0 kg of water that was originally at 71C. What is the final temperature of the water after the ice has melted?

13) A hypodermic needle is 2.88 cm in length and 0.26 mm in diameter. What pressure difference between the input and output of the needle is required so that the flow rate of water through it will be 1 g/s? (Use 1.0 10³ Pa s as the viscosity of water.).