A1000 gallon tank, initially full of water, develops a leak at the bottom. given that 300 gallons of water leak out in the first 30 minutes, find the amount of water, a(t), left in the tank t minutes after the leak develops if the water drains off at a rate proportional to the amount of water present.

a. a(t)= 1000(1/3)^1/10t
b. a(t)= 1000(1/2)^-1/10t
c. a(t)= 1000(1001/2)^t
d. a(t)= 1000e ^-1/10t
e. a(t)= 1000(1/2)^1/10t
f. none of these

Which of the following statements are true? (select all that apply.) a quasi-static process is one in which the system is never far from being in equilibrium. when a system can go from state 1 to state 2 by several different processes, the amount of heat absorbed by the system will be the same for all processes. the internal energy of a given amount of an ideal gas depends only on its absolute temperature. when a system can go from state 1 to state 2 by several different processes, the work done on the system will be the same for all processes. when a system can go from state 1 to state 2 by several different processes, the change in the internal energy of the system will be the same for all processes. for any substance that expands when heated, its cp is greater than its cv.