Thermodynamics Isochoric process .

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SUMMARY

The discussion focuses on the calculations involved in an isochoric process for a gas with an initial volume of 0.4 m³, pressure of 4.5 bar, and temperature of 1300°C, which is heated to 9 bar while maintaining constant volume. The calculations yield a final temperature of 806 K, a change in internal energy of 54.86 kJ, and a change in enthalpy of 769.83 kJ, with no work done during the process. The initial temperature was incorrectly stated as 130°C instead of the correct 1300°C, which is crucial for accurate calculations.

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  • Understanding of the Ideal Gas Law (pV = mRT)
  • Knowledge of thermodynamic properties such as Cp and Cv
  • Familiarity with the concepts of internal energy and enthalpy
  • Basic principles of isochoric processes in thermodynamics
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manal950
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Hi

can please check my answer for this question :

A certain Gas of volume 0.4 m3, pressure of 4.5 bar
and temperature of 1300 C is heated to in a cylinder to 9 bar when the volume remains
constant. Calculate

¨ (i) Temperature at the
end of the process,

¨ (ii) the heat transferred

¨(iii) change in internal energy

¨ (iv) work done

¨(v) change in enthalpy.

¨Assume Cp = 1.005 kJ/kg.K and Cv=
0.71005 kJ/kg.K


my answer

p1v1=mRT

4.5 X 100 X 0.4 = m X 0.28 X 403

m= 1595 kg


now
i) p2v2 = mRT
9 X 100 X 0.4 = 1.1595 X 0.28 X T
T = 806 K

ii ) the heat transferred
no heat transferred because the work = 0

(iii) change in internal energy

Cv(T2 - T1 )
0.71005(806 - 40)
= 54.86

(iv) work done = 0

(v) change in enthalpy.
Cp (T2 - T1 )
1.005(806 - 40)
=769.83
 
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manal950 said:
p1v1=mRT

4.5 X 100 X 0.4 = m X 0.28 X 403

m= 1595 kg
I'll stop you here: what are you doing?
 
According to you, it is impossible for a stove to heat up a tea kettle because no work is done by the stove.

Also the OP says the initial temp. is 1300 C, rather than 130 C.
 

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