A spring-loaded piston-cylinder device contains 7 kg of helium as the system, as shown in the figure. This system is heated from 100 kPa and 20°C to 800 kPa and 160°C. Determine the heat transferred to and the work produced by this system. The properties of helium are R = 2.0769kJ/kg·K and cv = 3.1156 kJ/kg·K (Table A-2a).

Respuesta :

The heat transferred to and the work produced by this system will be the negative 12561.7 kJ and the negative 15615 kJ.

What is thermodynamics?

It is the study of heat and work transfer.

A spring-loaded piston-cylinder device contains 7 kg of helium as the system, as shown in the figure.

This system is heated from 100 kPa and 20°C (293 K) to 800 kPa and 160°C (433 K).

Volume at state 1 will be

V₁ = 7 × 2.0769 × 293 / 100

V₁ = 42.6 m³

Volume at state 2 will be

V₂ = 7 × 2.0769 × 433 / 800

V₂ = 7.9 m³

Then the work done will be

W = (100 + 800) / 2 x (7.9 - 42.6)

W = -15615 kJ

Then the heat transfer will be

Q = U + W

Q = 7 × 3.1156 × (160 – 20) – 15615

Q = – 12561.7 kJ

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