1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Tresset [83]
3 years ago
10

Given that a commercial airliner has a range a range of 9,500 miles using 265 tons of JP-4 fuel. Estimate the range of the aircr

aft burning either gaseous or liquid hydrogen at_____________.
Chemistry
1 answer:
Blizzard [7]3 years ago
6 0

Here is the full question.

Given that a commercial airliner has a range of 9,500 miles using 265 tonnes of JP-4 fuel. Estimate the range of the aircraft burning either gaseous or liquid hydrogen at the same mass of hydrogen as JP4.

The dry mass of the aircraft is 800 tonnes. The fuel properties are as follows:

Fuel                             Density (kg/m³)              Heating value (kJ/kg)

JP4                                 800.0                            45000

H₂ (gaseous, S.T.P)       0.0824                          120900

H₂ (liquid, 1 atm)             70.8                              120900

Answer:

25,514 mi

Explanation:

Let first calculate the value of initial mass of the aircraft m_1 when burning JP4 fuel by using the expression:

m_1 =m_2 + m_{JP4}

where;

m_2 = 800t

m_{JP4} = 265t

m_1 = 800t+265t

m_1=1065 t

We need to employ the use of the range of the airliner which can be expressed by the formula;

s = \eta__0}(\frac{L}{\delta g})In(\frac{m_1}{m_2})(\frac{Q_R}{g})

where;

\eta__0} = overall efficiency

L = lift

\delta g = drag force

m_1 = initial mass of the vehicle

m_2 = is the final mass of the airliner after the burning of fuel

Q_R = is the heat of the reaction of the fuel burning.

g = gravitational acceleration

Rearranging the above equation; we have:

\eta__0}(\frac{L}{\delta g})   = \frac{ s}{In(\frac{m_1}{m_2})({Q_R})}

\eta__0}(\frac{L}{\delta g})   = \frac{9500 mi}{In(\frac{1065t}{800t})({45000 kJ/kg})}

\eta__0}(\frac{L}{\delta g})   = \frac{0.2111}{In(1.33)}

\eta__0}(\frac{L}{\delta g})   = 0.74 mi.kg/kJ

To estimate the range of the aircraft burning either gaseous or liquid hydrogen at the same mass of hydrogen as JP4; we have:

s = \eta__0}(\frac{L}{\delta g})In(\frac{m_1}{m_2})(\frac{Q_R}{g})

s= (0.74mi.kg/kJ)(120900kJ/kg)In(\frac{1065t}{800t})

s= (89466mi)In(\frac{1065t}{800t})

s = (89466mi)In(1.33)

s = 25,513.82 mi

s ≅ 25,514 mi

Thus, the range of the aircraft when burning either gaseous or liquid hydrogen at the same mass of hydrogen as JP4 is 25,514 mi

You might be interested in
A 15.0-L scuba diving tank contains a helium-oxygen (heliox) mixture made up of 23.0 g of He and 4.14 g of O2 at 298 K. Calculat
EleoNora [17]

<u>Answer:</u> The mole fraction of Helium is 0.978 and that of oxygen gas is 0.022

<u>Explanation:</u>

To calculate the number of moles, we use the equation:

\text{Number of moles}=\frac{\text{Given mass}}{\text{Molar mass}}      .....(1)

  • <u>For helium:</u>

Given mass of helium = 23 g

Molar mass of helium = 4 g/mol

Putting values in equation 1, we get:

\text{Moles of helium}=\frac{23g}{4g/mol}=5.75mol

  • <u>For oxygen gas:</u>

Given mass of oxygen gas = 4.14 g

Molar mass of oxygen gas = 32 g/mol

Putting values in equation 1, we get:

\text{Moles of oxygen gas}=\frac{4.14g}{32g/mol}=0.129mol

Mole fraction of a substance is given by:

\chi_A=\frac{n_A}{n_A+n_B}

  • <u>For helium:</u>

Moles of helium = 5.75 moles

Total moles = [5.75 + 0.129] = 5.879 moles

Putting values in above equation, we get:

\chi_{(He)}=\frac{5.75}{5.879}=0.978

  • <u>For oxygen gas:</u>

Moles of oxygen gas = 0.129 moles

Total moles = [5.75 + 0.129] = 5.879 moles

Putting values in above equation, we get:

\chi_{(O_2)}=\frac{0.129}{5.879}=0.022

Hence, the mole fraction of Helium is 0.978 and that of oxygen gas is 0.022

3 0
3 years ago
I don’t know if I’m right??
allochka39001 [22]

Answer:

what is this for? A-level..?!

Explanation:

3 0
3 years ago
Read 2 more answers
Describe 2 ways of salting out proteins ​
liubo4ka [24]

The phenomenon known as "salting-out" occurs at very high ionic strengths, when protein solubility declines as ionic strength rises. As a result, salting out may be used to segregate proteins according to how soluble they are in salt solutions.

Because large levels of sodium chloride disturb the bonds and structure of the active site, the rate of enzyme activity will gradually decrease as the concentration of sodium chloride rises. As a result, some of the active sites get denaturized and the starch loses its ability to attach to them. As more enzymes get denatured and eventually cease to function, enzyme activity will steadily wane.

8 0
2 years ago
What is the SI Unit used to measure the temperature of a substance?
ser-zykov [4K]

Answer:

kelvin

Explanation:

google

5 0
2 years ago
Read 2 more answers
Any element above 92 on the
Fynjy0 [20]
False
explanation

All of the elements with atomic numbers 1 to 92 can be found in nature, have stable or very long half-life isotopes, and are created as common products of the decay of uranium and thorium.
5 0
2 years ago
Read 2 more answers
Other questions:
  • 150 lb of NaCl are initially dissolved in 500 gal of a NaCl solution in a container. Water is continuously added to the containe
    12·1 answer
  • Which is the best analogy of a wave?
    5·2 answers
  • When dissolved in water, hydrogen bromide (hbr) forms hydrobromic acid. determine the hydroxide ion concentration in a 4,500 ml
    5·1 answer
  • Which of the following reactions involves two or more substances combining to form a new compound?
    9·1 answer
  • Explain why the nucleus of an atom carries a positive charge
    10·1 answer
  • 2 Points
    11·1 answer
  • What is The molarity of 1.5N solution of aluminum carbonate
    15·1 answer
  • HELP. ME!!!!!!!!!!!!!!!
    12·2 answers
  • Multiply the following and express your answer in appropriate scientific notation, and a correct number of significant figures.
    7·1 answer
  • Find the pH of a buffer that consists of 1.3 M sodium phenolate (C₆H₅ONa) and 1.2 M phenol (C₆H₅OH) (pKₐ of phenol = 10.00).
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!