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
RideAnS [48]
3 years ago
15

Please consider 1 kg of NH3 that was compressed from 2.5 bar and 30°C to 5.0 bar in a well-insulated compressor. Please determin

e the (a) final temperature in C and (b) the work required in kJ.
Chemistry
1 answer:
natali 33 [55]3 years ago
8 0

Explanation:

(a)   The given data is as follows.

               mass = 1 kg = 1000 g        (as 1 kg = 1000 g)

          Molar mass of NH_{3} = 17 g/mol

           P_{1} = 2.5 bar = 2.5 \times 10^{5} Pa    (as 1 bar = 10^{5} Pa)

            P_{2} = 5 bar = 5 \times 10^{5} Pa

          T_{1} = 30^{o}C = 30 + 273 = 303 K

For adiabatic process,   PV^{\gamma} = constant = k

             \gamma = 1.33 = \frac{C_{p}}{C_{v}}        

              P_{1}V_{1}^{\gamma} = P_{2}V_{2}^{\gamma}

                (\frac{V_{2}}{V_{1}})^{\gamma} = \frac{P_{1}}{P_{2}}

        \frac{V_{2}}{V_{1}} = (\frac{P_{1}}{P_{2}})^{\frac{1}{\gamma}}

    V_{2} = (\frac{2.5 \times 10^{5}}{5 \times 10^{5}})^{\frac{1}{1.33}} \times \frac{nRT_{1}}{P_{1}}            (as PV = nRT)

                 = (\frac{2.5}{5})^{\frac{1}{1.33}} \times \frac{58.82 \times 8.314 J/mol K \times 303 K}{2.5 \times 10^{5}}

                = 0.352 m^{3}

Also,       w = \frac{P_{1}V_{1} - P_{2}V_{2}}{\gamma - 1}

                  = \frac{2.5 \times 10^{5} \times 0.5927 - 5 \times 10^{5} \times 0.352}{1.33 - 1}

                  = -84318.2 J

As 1 kJ = 1000 J. So, -84318.2 J = -84.318 kJ

Hence, the work required in kJ is -84318.2 J.

(b)    It is known that for adiabatic system Q = 0,

                           \Delta U = Q - w

                          nC_{v}dT = -w

                             dT = \frac{-w}{nC_{v}}

                                  = \frac{84318.2}{58.82 \times 1.6}

                                  = 895.93 K

We known that dT = T_{1} - T_{2}

so,                   895.93 = 303 K - T_{2}                            

                         T_{2} = (895.93 - 303)K

                                     = 592.93 K

                                     = (592.93 - 273.15)^{o}C

                                     = 319.78^{o}C

Hence, the final temperature is 319.78^{o}C.

You might be interested in
Which is one way that Dalton's atomic theory has been shown to be incorrect?
KATRIN_1 [288]
The answer is D. His belief is was that atoms could not be split. That is what was disproved really fast ;)
6 0
4 years ago
What are the ingredients in Swedish fish
Juli2301 [7.4K]
INGREDIENTS:SUGAR, INVERT SUGAR, CORN SYRUP, MODIFIED CORN STARCH, CITRIC ACID, WHITE MINERAL OIL, NATURAL AND ARTIFICIAL FLAVOR, RED 40, AND CARNABUBA WAX.
7 0
3 years ago
Which letter pattern best represents seafloor spreading? (Hint: Letter "f" represents the mid-
labwork [276]

Answer:

anna ou

Explanation:

6 0
3 years ago
Read 2 more answers
Can you do my project please and I'll mark brainllest
Alex17521 [72]

Answer:

Whats the project?

Explanation:

8 0
3 years ago
Pls answer fast chem questions
gregori [183]

I don't recognize this problem, please make sure the input is complete.

7 0
3 years ago
Other questions:
  • Is water a solid, liquid, or gas at 245 kelvin
    6·2 answers
  • The first ionization energy of fluorine and iodine
    5·1 answer
  • The price of tomatoes is 1.8 lb/$. How many $ would you need to buy 8.1 lb?​
    12·1 answer
  • Plz help me with this question, I am stuck
    15·1 answer
  • Match with the correct definition.
    9·1 answer
  • A net force of 66 newtons accelerates a child at 2.0 m/s? down a smooth playground slide. What is the mass of the
    9·2 answers
  • PLEASE HELP ME WILL DO ANYTHING ‼️‼️
    13·1 answer
  • Is Dioxin chemical ionic or covalent and acidic or basic? Explain
    12·1 answer
  • 14. Why does a sea breeze blow from the ocean toward the shore?
    8·1 answer
  • Moles of NaOH used in titration mole NaOH Moles of HC2H3O2 neutralized by NaOH mole HC2H3O2 Molarity of HC2H3O2 M HC2H3O2 Grams
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!