Applying the Entropy Balance: Control VolumesHydrogen gas

Chapter 6, Problem 99P

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QUESTION:

Hydrogen gas \(\left(\mathrm{H}_{2}\right)\) at \(35^{\circ} \mathrm{C}\) and pressure p enters an insulated control volume operating at steady state for which \(\dot{W}_{\mathrm{cv}}=0\). Half of the hydrogen exits the device at 2 bar and \(90^{\circ} \mathrm{C}\) and the other half exits at 2 bar and \(-20^{\circ} \mathrm{C}\). The effects of kinetic and potential energy are negligible. Employing the ideal gas model with constant \(c_{p}=14.3 \mathrm{\ kJ} / \mathrm{kg} \cdot \mathrm{K}\), determine the minimum possible value for the inlet pressure p, in bar.

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QUESTION:

Hydrogen gas \(\left(\mathrm{H}_{2}\right)\) at \(35^{\circ} \mathrm{C}\) and pressure p enters an insulated control volume operating at steady state for which \(\dot{W}_{\mathrm{cv}}=0\). Half of the hydrogen exits the device at 2 bar and \(90^{\circ} \mathrm{C}\) and the other half exits at 2 bar and \(-20^{\circ} \mathrm{C}\). The effects of kinetic and potential energy are negligible. Employing the ideal gas model with constant \(c_{p}=14.3 \mathrm{\ kJ} / \mathrm{kg} \cdot \mathrm{K}\), determine the minimum possible value for the inlet pressure p, in bar.

ANSWER:

Solution 99P

Step 1 of 9

Here, we need to determine the minimum possible value for the inlet pressure when hydrogen gas enters a control volume and it exits from the control volume in two different states.

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