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When 2.00 kJ of energy is transferred as heat to nitrogen in a cylinder fitted with a piston with an external pressure of 2.00 atm, the nitrogen gas expands from 2.00 to 5.00 L. What is the change in internal energy of this system? (1 L·atm = 0.1013 kJ) Group of answer choices
A. +1.39 kJ
B. 0 -0.608 kJ
C. +2.61 kJ
D. -2.61 kJ

Respuesta :

Answer: B

Explanation:

Cricetus

The change in internal energy is "1.4 kJ".

According to the question,

Volume,

  • V₁ = 2 L
  • V₂ = 5 L

Pressure,

  • P = 2 atm

Change is volume,

ΔV = [tex]V_2-V_1[/tex]

     = [tex]5-2[/tex]

     = [tex]3 \ L[/tex]

As we know,

→ [tex]Work = -Pd V[/tex]

             [tex]= -2(3)[/tex]

             [tex]= -6\times 101.325[/tex]

             [tex]= -0.6 \ J[/tex]

Now,

→ [tex]U = 2-0.6[/tex]

      [tex]= 1.39 \ kJ[/tex]

Thus the answer above i.e., "choice A" is correct.            

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