The vinegar sold in the grocery stores is described as 5.0%(V/V) acetic acid?

What is the molarity of this solution (density of 100% acetic acid is 1.05 g/mL)?

What is the mass % of acetic acid in this solution (density of vinegar is 1.01 g/mL)?

What is the mole fraction of acetic acid in this solution?

What is the molality of this solution?

Please explain as you solve

Voltage amplifiers are available with Avoc = 8 V / V,
Rin = 1.8 kΩ, Ro = 850 Ω. With a 12V DC power source, each amplifier
consumes 1.5 mA average current.
a. How many amps do you need to cascade to get so
minus a voltage gain of 1000 with a load resistance of 1.0 kΩ?

b. What is the voltage gain Av obtained? (Answer with an integer number
rounded)

c. For the cascade connection, find the open circuit voltage gain.
(Answer with a rounded integer)

d. If you have a 1.5 mV input, how efficient is the equivalent amplifier?

e. Find the transconductance of the entire circuit.

Let T = (V,E) be a tree, and letr, r′ ∈ V be any two nodes. Prove that the height of the rooted tree (T, r) is at most twice the height of the rooted tree (T, r′).

Assume that G is connected and let
                   (G) = min{deg(v) ∈ Z ≥0 | v ∈ V (G)}
denote the lowest vertex degree that occurs in a graph G and let
                    λ(G) = min{|K| ∈ Z ≥0 | K ⊆ E(G) is a cutset of G}
denote the edge connectivity of G.
Prove that λ(G) ≤ δ(G)

Voltage amplifiers are available with Avoc = 8 V / V, Rin = 1.8 kΩ, Ro = 850 Ω. With a 12V DC power source, each amplifier draws 1.5 mA average current.

a) How many amplifiers do you need to cascade to get at least a voltage gain of 1000 with a load resistance of 1.0 kΩ?

b) What is the voltage gain Av obtained? (Respond with a rounded whole number)

c) For the cascade connection, find the voltage gain in open circuit. (Respond with a rounded whole number)

d) If you have a 1.5 mV input, how efficient is the equivalent amplifier?

e) Find the transconductance of the entire circuit.

Give the finite-state automaton and the regular grammar for the following:

(a) (ab v ba)* v (ab)*

(b) (11*)*(110 v 01)

(c) All strings over {0,1} containing the string 010

(d) All strings over {0,1} which do not contain the string 010

An incompressible fluid oscillates harmonically (V = V0 sin(wt), where V is the velocity) with a certain frequency in a 19 cm diameter pipe. A 1/4 scale model is to be used to determine the pressure difference per unit length, ∆?? at any instant along the pipe. Assume that ∆?? = ?(?, ?0,?,?,?,?)

Where D is the pipe diameter, ω the frequency, t the time, μ the fluid viscosity, and ρ the fluid density.

a) Determine the similarity requirements for the model and the prediction equation for ∆??.

b) If the same fluid is used in the model and the prototype, and the model frequency is 250 rad/s, what is the prototype frequency?

In the figure below, the battery has potential difference V = 9.0 V, C2 = 3.0

Put the terms in the appropriate blanks.

What is the difference between a 10% (v/v) methanol (CH₃OH) solution and a 10% (m/m) methanol solution?

A 10% (v/v) methanol solution can be made by adding _________ of methanol to _________ of water, while a 10% (m/m) methanol solution can be made by adding _________ of methanol _________ of water.

a. 10 mL

b. 90 mL

c. 90 g

d. 100 g

e. 100 mL

f. 10 g

How do temperature and pressure affect the solubility of solids and gases in water?

An increase in temperature usually __________ the solubility of solids and ________ the solubility of gases in water. An increase in pressure of a gas above a liquid _________ the solubility of a gas within that solution and _________ the solubility of solids.

a. increases

b. decreases

c. has no effect on

Describe the formation of an aqueous LiBr solution, when solid LiBr dissolves in water.

The _________ at the surface of the solid are pulled into solution by the _________ water molecules, where the ________ process surrounds

The output voltage of an AC generator is given by ?v = 121 V sin (32?t). The generator is connected across a 0.007 H inductor. Find the following.

(a) frequency of the generator?=____ Hz

(b) rms voltage across the inductor?=____ V

(c) inductive reactance?=____ ohms

(d) rms current in the inductor?=____ A

(e) maximum current in the inductor?=____ A

(f) average power delivered to the inductor?=____ W

(g) Find an expression for the instantaneous current. (Use the following as necessary: t.)

" i=_________ "

(h) At what time after t = 0 does the instantaneous current first reach 1.00 A? (Use the inverse sine function.)?=_____ s

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