A piston-cylinder chamber contains 0.1 m3 of 10 kg R-134a in a saturated liquid-vapor mixture state at 10 °C. It is heated at constant temperature until the piston expands and the final volume of R-134a is 1 m3. What is (a) the final pressure and (b) the total energy transferred to R-134a for this process?

Question

Physics

Reece Robertson

14 February, 12:30

A piston-cylinder chamber contains 0.1 m3 of 10 kg R-134a in a saturated liquid-vapor mixture state at 10 °C. It is heated at constant temperature until the piston expands and the final volume of R-134a is 1 m3. What is (a) the final pressure and (b) the total energy transferred to R-134a for this process?

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Answers (1)

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Kira Bennett · Answer 1

(A) 10132.5Pa

(B) 531kJ of energy

Explanation:

This is an isothermal process. Assuming ideal gas behaviour then the relation P1V1 = P2V2 holds.

Given

m = 10kg = 10000g, V1 = 0.1m³, V2 = 1.0m³

P1 = 101325Pa. M = 102.03g/mol

P2 = P1 * V1 / V2 = 101325 * 0.1 / 1 = 10132.5Pa

(B) Energy is transfered by the r134a in the form of thw work done in in expansion

W = nRTIn (V2/V1)

n = m / M = 10000/102.03 = 98.01mols

W = 98.01 * 8.314 * 283 * ln (1.0/0.1)

= 531kJ.