Answer:
0.00325 moles/liter/second
Explanation:
The tangent line has a slope of (y2 -y1)/(x2 -x1) = (0.35-0.48)/(40-0) = -0.00325.
The rate of the reaction is about 0.00325 moles/liter/second.
_____
This is the rate of decrease of the concentration of A.
Answer:
The airspeed must be 7.78 m/s for the rectangular plate kept at 30°.
Explanation:
By looking at the images below wee see that the airspeed on one side of the rectangular plate decreases the statical pressure over this side. Since over the downside, the pressure still bein the atmospheric pressure. This difference in pressure produces a lift force in the plate. The list force is the net force obtained between the difference of the forces that produce the pressure over the upside and the downside:

Where up and down relate to what movement the forces produce. And p and V are the respective air density and velocity.
When the plate is kept horizontal the lift force balance the moment due to the weight of the plate and considering that both forces act at the same point:

By replacing the known values it is possible to find the plate's weight:


When the plate kept to 30° from the vertical the moment equation balance is written as:

The sine of 30° is due to the weight is 30° oriented, therefore the new value for the airspeed is:






Answer:
a) 0.500 s
b) greater than 0.500 s
c) greater than 0.500 s
Explanation:
The time period of an oscillating spring-mass system is given by:

where, m is the mass and k is the spring constant.
a) As the period of oscillation does not depend on the distance by which the mass is pulled, the period would remain same as 0.500 s for the given system.
b) As the period varies inversely with the square root of spring constant, so with the decrease in the spring constant, the period would increase. So, the new period would be greater than 0.500 s.
c) As the period varies directly with the square root of mass, so with the increase in mass, the period will also increase. The new period will be greater than 0.500 s.
The index of refraction of a material is the ratio between the speed of light in vacuum, c, and the speed of light in that material, v:

where the speed of light in vacuum is

. The speed of light in benzene is

, so we can use the previous relationship to find the refractive index of benzene:
Answer: If you remove all of the hawks, it stabilizes an a new equilibrium.
Explanation: For the ecosystem to stabilize at a new equilibrium, the tertiary consumer (hawks) need to be totally removed from the ecosystem. Since there's no tertiary consumer to checkmate the density of other components of the food chain, it will make form a balanced ecosystem.