Which formula for energy and heat transfer?

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SUMMARY

The discussion centers on calculating work and heat transfer for a perfect gas compressed reversibly under the law pV1.3 = C. Given the initial conditions of 1.05 bar, 0.34 m3, and 17°C, along with final pressure of 6.32 bar, the relevant formulas for work transfer (δW = PdV) and heat transfer need to be applied. The specific heat at constant volume (cv = 0.7175 kJ/kg) and the gas constant (R = 0.287 kJ/kg) are also crucial for these calculations. The discussion highlights the need for clarity on the variable 'd' in the work formula.

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  • Understanding of the ideal gas law and its applications
  • Familiarity with thermodynamic principles, specifically work and heat transfer
  • Knowledge of calculus, particularly integration for work calculations
  • Proficiency in using specific heat capacities and gas constants in thermodynamic equations
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  • Study the derivation and application of the work formula δW = PdV in thermodynamics
  • Learn about the relationship between pressure, volume, and temperature in ideal gases
  • Explore the concepts of reversible processes in thermodynamics
  • Investigate the calculation of heat transfer during compression using the first law of thermodynamics
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A perfect gas is compressed in a cylinder reversibly according to the law pV1.3 = C. The initial condition of the gas is 1.05 bar, 0.34 m3 and 17 oC. If the final pressure is 6.32 bar; and given that cv = 0.7175 kJkg-1 and R = 0.287 kJkg-1.

Calculate the following.

(a) The work transfer to the gas compressed

(b) The heat transfer during the compression


I would like to ask, what formula can I use to calculate the answers.

I have found in my book that the following formula might work, but I am not sure what d is. It is such a frustrating subject so please don't slate me saying I haven't tried because I really have I promise.

δW = PdV

Thanks
 
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