For H2O, determine the specified property at the indicated

Chapter 3, Problem 3.10

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QUESTION:

For \(\mathrm{H}_{2} \mathrm{O}\), determine the specified property at the indicated state. Locate the state on a sketch of the T–v diagram.

\(\begin{array}{l}\text{(a) } T=140^{\circ} \mathrm{C}, v=0.5 \mathrm{~m}^{3} / \mathrm{kg} \text{. Find } T \text{, in } { }^{\circ} \mathrm{C} \text{.}\\\text{(b) } p=30 \mathrm{MPa}, T=100^{\circ} \mathrm{C} \text{. Find } v \text{, in } \mathrm{m}^{3} / \mathrm{kg} \text{.}\\\text{(c) } p=10 \mathrm{MPa}, T=485^{\circ} \mathrm{C} \text{. Find } v \text{, in } \mathrm{m}^{3} / \mathrm{kg} \text{.}\\\text{(d) } T=80^{\circ} \mathrm{C}, x=0.75 \text{. Find } p \text{, in bar, and } v \text{, in } \mathrm{m}^{3} / \mathrm{kg} \text{.}\end{array}\)

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QUESTION:

For \(\mathrm{H}_{2} \mathrm{O}\), determine the specified property at the indicated state. Locate the state on a sketch of the T–v diagram.

\(\begin{array}{l}\text{(a) } T=140^{\circ} \mathrm{C}, v=0.5 \mathrm{~m}^{3} / \mathrm{kg} \text{. Find } T \text{, in } { }^{\circ} \mathrm{C} \text{.}\\\text{(b) } p=30 \mathrm{MPa}, T=100^{\circ} \mathrm{C} \text{. Find } v \text{, in } \mathrm{m}^{3} / \mathrm{kg} \text{.}\\\text{(c) } p=10 \mathrm{MPa}, T=485^{\circ} \mathrm{C} \text{. Find } v \text{, in } \mathrm{m}^{3} / \mathrm{kg} \text{.}\\\text{(d) } T=80^{\circ} \mathrm{C}, x=0.75 \text{. Find } p \text{, in bar, and } v \text{, in } \mathrm{m}^{3} / \mathrm{kg} \text{.}\end{array}\)

ANSWER:

Step 1 of 8

Part (a)

Consider the properties at  from the saturated water (liquid-vapor).

Specific volume of saturated liquid, 

Specific volume of saturated vapor, 

Saturated pressure, 

The given specific volume  lies between the value of specific volume of saturated liquid  and vapor .therefore the pressure is .

Therefore, from the table A-2,

 

Hence the temperature in  is .

 

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