Which formula for energy and heat transfer?

AI Thread Summary
To calculate the work transfer during the reversible compression of a perfect gas, the formula δW = PdV is relevant, where P is pressure and dV is the change in volume. The heat transfer during compression can be determined using the first law of thermodynamics, incorporating the specific heat capacities and the work done on the gas. The initial conditions provided are essential for determining the specific volume and applying the appropriate equations. Calculus may be necessary to integrate the work done over the volume change. Understanding these formulas is crucial for accurately solving the problem of energy and heat transfer in gas compression.
Marshiewoo
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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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