To solve this problem we will apply the linear motion kinematic equations. To determine the position in which the braking starts we will start from the definition of distance as a function of speed and time, that is
Here,
= Initial position
v = Velocity
t = time
Replacing we have that
Now the acceleration is given by the function,
Here,
= Final velocity
= Initial velocity
a = Acceleration
x = Displacement
Replacing we have that
Therefore the acceleration necessary to bring the train to rest is
Answer:
0.779 mol
Explanation:
Since the gas is in a bottle, the volume of the gas is constant. Assuming the temperature remains constant as well, then the gas pressure is proportional to the number of moles:
so we can write
where
p1 = 730 mm Hg = 0.96 atm is the initial pressure
n1 = 0.650 mol is the initial number of moles
p2 = 1.15 atm is the final pressure
n2 is the final number of moles
Solving for n2,