Answer: <em>Acceleration of the ball in the given system is 5 meter per Second Square</em>
<em>The laws of motion are used to determine various aspects of an object in motion</em>.
Explanation:
Applying the first law of motion to calculate acceleration; if formula used in first law is given as 
Here we have a final velocity as 40 meter per second and initial velocity as 20 meter per second and time span is given as 2 second applying the given values in the given equation and finding the value of a
We will use Arrehenius equation
lnK = lnA -( Ea / RT)
R = gas constant = 8.314 J / mol K
T = temperature = 25 C = 298 K
A = frequency factor
ln A = ln (1.5×10 ^11) = 25.73
Ea = activation energy = 56.9 kj/mol = 56900 J / mol
lnK = 25.73 - (56900 / 8.314 X 298) = 2.76
Taking antilog
K = 15.8
The new pressure inside the syringe will be 1.25 atm
<h3>Gas law</h3>
At constant temperatures, the volume of a gas is inversely proportional to its pressure.
Thus: P1V1 = P2V2
In this case, P1 = 3.0 atm, V1 = 89.6 mL, V2 = 215 mL
P2 = P1V1/V2
= 3 x 89.6/215
= 1.25 atm
More on gas laws can be found here: brainly.com/question/1190311
First calculate the mole fraction of each substance:
Acetone: 2.88 mol ÷ (2.88 mol + 1.45 mol) = 0.665
Cyclohexane: 1.45 ÷ (2.88 mol + 1.45 mol) = 0.335
Raoult's Law: P(total) = P(acetone) · χ(acetone) + P(cyclohexane) · χ(cyclohexane).
P(total) = 229.5 torr · 0.665 + 97.6 torr · 0.335
P(total) = 185.3 torr
χ for acetone: 229.5 torr · 0.665 ÷ 185.3 torr = 0.823
χ for cyclohexane: 97.6 torr · 0.335 ÷ 185.3 torr = 0.177
