Question

In: Mechanical Engineering

1.Write the Bernoulli equation and state all the assumptions used in its derivation. 2.Write the vector...

1.Write the Bernoulli equation and state all the assumptions used in its derivation.

2.Write the vector form of the conservation of momentum equation for a control volume that is moving with a constant velocity.

3.) Water is flowing in a fire hose with a velocity of 1.0 m/s and a pressure of 200000 Pa. Use the Bernoulli equation to calculate the velocity of the water exiting the nozzle. Note: Derive the expression before plugging in numbers and clearly state all your assumptions.

4.Through a refinery, fuel ethanol is flowing in a pipe at a velocity of 1 m/s and a pressure of 101300 Pa. The refinery needs the ethanol to be at a pressure of 2 atm (202600 Pa) on a lower level. How far must the pipe drop in height in order to achieve this pressure? Assume the velocity does not change. (Hint: Use the Bernoulli equation. The density of ethanol is 789 kg/m3 ). Derive the expression before plugging in numbers.

Solutions

Expert Solution

The question are solved in the below images.


Related Solutions

Write down the equation for the rate of entropy production, diS/dt, for the Bernoulli process 0⇄1...
Write down the equation for the rate of entropy production, diS/dt, for the Bernoulli process 0⇄1 with states 0 and 1, forward rate constant w10 and reverse rate constant w01. Reformulate the equation to eliminate the summation of logarithmic terms. Use your final result to calculate the equilibrium distribution. What are the equilibrium probabilities of states 0 and 1 if w10=w01. Calculate the equilibrium entropy, S°, of the system for w10=w01. 6
Discuss all the different heads (including losses) in Bernoulli energy equation defining all terms with their...
Discuss all the different heads (including losses) in Bernoulli energy equation defining all terms with their units
1. State the assumptions 2. State the appropriate hypothesis test 3. State the appropriate test statistics...
1. State the assumptions 2. State the appropriate hypothesis test 3. State the appropriate test statistics formula 4. Find the value for the test statistics via calculator 5. Find the p-value via calculator 6. Reject H0 if p-value is small 7. Explain your decision in a full sentence Humerus bones from the same species of animal tend to have approximately the same length-to-width ratios. When fossils of humerus bones are discovered, archeologists can often determine the species of animal by...
1. Walk through and reproduce mathematically the derivation of the Fisher equation for models with and...
1. Walk through and reproduce mathematically the derivation of the Fisher equation for models with and without relative PPP. What are the implications of both for the relative price of exports?
1. A vector is parallel to the y-axis. what is its x component? 2. A vector...
1. A vector is parallel to the y-axis. what is its x component? 2. A vector has equal, positive x and y components and zero z component. what is the angle between this vector and the x axis? 3. A vector A has an x component Ax=3 and a y component Ay= -1. what are the x and y components of the vector 2A ? The vector -4A ? 4. What is the magnitude of the vector i + j...
The following equation represents the decomposition of a generic diatomic element in its standard state. 1/2...
The following equation represents the decomposition of a generic diatomic element in its standard state. 1/2 X2 (g) = X (g) Assume that the standard molar Gibbs energy of formation of X(g) is 5.40 kJ·mol–1 at 2000. K and –53.08 kJ·mol–1 at 3000. K. Determine the value of K (the thermodynamic equilibrium constant) at each temperature. K at 2000. K = ? K at 3000. K = ? Assuming that ΔH°rxn is independent of temperature, determine the value of ΔH°rxn...
1. Describe and state the assumptions and disadvantages of the mark-recapture technique used to quantify population...
1. Describe and state the assumptions and disadvantages of the mark-recapture technique used to quantify population size and density. 2. What are the causes of habitat fragmentation? 3. What factors impact the diversity and density of life-forms in fragmented habit patches? 4. Define each of the 4 different types of meta-populations. 5. Shooting the grey wolves was advocated in the 1930s as a way of increasing the numbers of Dall mountain sheeps in Denali National Park, Alaska. Explain the ecological...
In the absorptive state ____________. 1-All of these 2-the liver is decreasing its supply of stored...
In the absorptive state ____________. 1-All of these 2-the liver is decreasing its supply of stored glycogen 3-blood glucose concentrations are expected to be lower than the acceptable homeostatic range 4-the GI tract is active
1. Write the chemical equation for the formation of KCl (s) 2. Write the chemical equation...
1. Write the chemical equation for the formation of KCl (s) 2. Write the chemical equation describing the lattice energy for KCl (s)
1. State the assumptions 2. State the appropriate confidence interval formula 3. find the confidence interval...
1. State the assumptions 2. State the appropriate confidence interval formula 3. find the confidence interval via calculator 4. write a full sentence for this interval 5. interpret the interval Psychologists have found that twins, in their early years, tend to have lower intel- ligence and pick up languages more slowly than nontwins. The slower intellectual growth of twins may be caused by benign parental neglect. Suppose we want to investigate this phe- nomenon. A random sample of 50 sets...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT