Mechanical Engineering - Thermodynamics - Discussion

Discussion Forum : Thermodynamics - Section 2 (Q.No. 39)
39.
A mixture of gas expands from 0.03 m3 to 0.06 m3 at a constant pressure of 1 MPa and absorbs 84 kJ of heat during the process. The change in internal energy of the mixture is
30 kJ
54 kJ
84 kJ
114 kJ
Answer: Option
Explanation:
No answer description is available. Let's discuss.
Discussion:
19 comments Page 1 of 2.

Amar Bangar said:   1 decade ago
Change in internal energy
Q=dE+w
84 = dE + 1*10^3*(.06-.03)
dE = 84 - 30
dE = 54 kJ.

Lalith kailash said:   1 decade ago
Q = 84kJ, Change in volume dV = 0.06-0.03 , pressure = 1Mpa = 0.03

Q = U+PV.

dQ =dU+P.dV.

84 = dU+ 1*10^6*(0.03).

dU = 84-30*10^3.

dU = 54kJ.

Dhage Amol said:   1 decade ago
We know that first law of thermodynamics.

dU = dQ-dW.
dU = 84-[p(V2-V1)].
dU = 84-[10^3(0.06-0.03).
dU = 84-[0.03*10^3].
dU = 84-30.
dU = 54 KJ.

PKG said:   1 decade ago
dU=dQ-dW.

= [(84*10^3)-{1*10^5*(.06-.03)}] J.
= 81000 J.
= 81 KJ.

Vdp said:   10 years ago
Cant it be like this?

Heat is absorbed during process. So it should be negative as per sign convention.

Q = -84.

And so dU = 114 KJ.

Suresh kumar said:   9 years ago
@Vdp.

Yes, you are correct according to thermodynamic rules it should be in negative and answer value should be 114 KJ.

Abdush shami said:   9 years ago
Yes, it should be 114 KJ.

Sandeep said:   9 years ago
Absolutely wrong @Vdp.

It's a nonflow process. 54 kj is the answer.

Anandan said:   9 years ago
@Sandeep.

Please explain. Why sign convention is not applied to nonflow processs?

ABHISHEK(IIT DHANBAD) said:   8 years ago
Heat is added to the gas so +84kj (heat is given to the system),
pdv work is 1m * (.06-.03) = 30kj,
dQ =dU +pdv,
Gives du = 54.
(1)


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