Answer:
D
Explanation:
To coordinate all other human body system so that they can function together to maintain homeostasis
Answer:
x(t) = −39e
−0.03t + 40.
Explanation:
Let V (t) be the volume of solution (water and
nitric acid) measured in liters after t minutes. Let x(t) be the volume of nitric acid
measured in liters after t minutes, and let c(t) be the concentration (by volume) of
nitric acid in solution after t minutes.
The volume of solution V (t) doesn’t change over time since the inflow and outflow
of solution is equal. Thus V = 200 L. The concentration of nitric acid c(t) is
c(t) = x(t)
V (t)
=
x(t)
200
.
We model this problem as
dx
dt = I(t) − O(t),
where I(t) is the input rate of nitric acid and O(t) is the output rate of nitric acid,
both measured in liters of nitric acid per minute. The input rate is
I(t) = 6 Lsol.
1 min
·
20 Lnit.
100 Lsol.
=
120 Lnit.
100 min
= 1.2 Lnit./min.
The output rate is
O(t) = (6 Lsol./min)c(t) = 6 Lsol.
1 min
·
x(t) Lnit.
200 Lsol.
=
3x(t) Lnit.
100 min
= 0.03 x(t) Lnit./min.
The equation is then
dx
dt = 1.2 − 0.03x,
or
dx
dt + 0.03x = 1.2, (1)
which is a linear equation. The initial condition condition is found in the following
way:
c(0) = 0.5% = 5 Lnit.
1000 Lsol.
=
x(0) Lnit.
200 Lsol.
.
Thus x(0) = 1.
In Eq. (1) we let P(t) = 0.03 and Q(t) = 1.2. The integrating factor for Eq. (1) is
µ(t) = exp Z
P(t) dt
= exp
0.03 Z
dt
= e
0.03t
.
The solution is
x(t) = 1
µ(t)
Z
µ(t)Q(t) dt + C
= Ce−0.03t + 1.2e
−0.03t
Z
e
0.03t
dt
= Ce−0.03t +
1.2
0.03
e
−0.03t
e
0.03t
= Ce−0.03t +
1.2
0.03
= Ce−0.03t + 40.
The constant is found using x(t) = 1:
x(0) = Ce−0.03(0) + 40 = C + 40 = 1.
Thus C = −39, and the solution is
x(t) = −39e
−0.03t + 40.
Question 1
The correct answer is a.
Explanation
The relationship between
and
is given by
, We can use
and
. In a we are given the concentration of [OH] and so we use that to find the pOH, then from pOH we can find the pH.
![pOH= -log [2.4 \times 10^-^2] = 1.62\\\\pH = 14 - 1.62= 12.38](https://tex.z-dn.net/?f=pOH%3D%20-log%20%5B2.4%20%5Ctimes%2010%5E-%5E2%5D%20%3D%201.62%5C%5C%5C%5CpH%20%3D%2014%20-%201.62%3D%2012.38)

c. HCl is a strong acid so it dissociates to 0.0001
and 0.0001
, hence
![pH= -log[0.0001] = 4](https://tex.z-dn.net/?f=pH%3D%20-log%5B0.0001%5D%20%3D%204)
![d.pOH= -log [4.4 \times 10^-9] = 8.36\\\\pH= 14- 8.36 = 5.64](https://tex.z-dn.net/?f=%20d.pOH%3D%20-log%20%5B4.4%20%5Ctimes%2010%5E-9%5D%20%3D%208.36%5C%5C%5C%5CpH%3D%2014-%208.36%20%3D%205.64)
has a pH 12.36 which is greater than 7
Question 2
The correct answer is d
.
Explanation
This is because solids and liquids do not appear in the equilibrium constant expression. Since
.
For the equation

![K= \frac{[CO_2][SO_2]}{[O_2]}](https://tex.z-dn.net/?f=K%3D%20%5Cfrac%7B%5BCO_2%5D%5BSO_2%5D%7D%7B%5BO_2%5D%7D)
Question 3
The correct answer is c
In a molecule the oxidation number are assigned to get the sum of a neutral charge or ion. The overall charge of
is -2 and in all its compounds oxygen has -2 charge, hence

Question 4
The correct answer is b. An oxidising agent must gain electrons in a reaction, thus it is the one that undergoes reduction.In order find out what is being reduced we write half reactions for molecules that change their state.
and
are spectactor ions in this reaction.

In the chloride half reaction
gains electrons to become
ions.
Question 5
The last element D is correct. When a nucleus decays by beta emission it produces a daughter nucleus that has same mass number but different atomic number. Therefore beta-decay will have equation

Question 6
The correct answer is a. A beta particle is an electron because it has a charge of -1 and has same mass as an electron, while a positron is a particle with the same mass as an electron but with a positive charge.
Answer:
A water repellent protein that divides into hard and soft types
Answer:
So I don't know what do you mean by that, please be a little specific.
Explanation:
^^