The total enthalpy of 11 kg of steam at 950 kPa abs is 24 528.713 kJ. Determine the dryness of the steam.

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To determine the dryness fraction (or quality) of steam, you need to understand the concept of enthalpy in relation to saturated and superheated vapor conditions. The dryness fraction is a measure of the proportion of vapor in the mixture of liquid and vapor, and it is calculated using the enthalpy values of saturated liquid and saturated steam at a specific pressure.

In this case, you are given the total enthalpy of the steam and need to find the dryness. Typically, the formula to find the dryness fraction is:

[ x = \frac{h - h_f}{h_g - h_f} ]

Where:

  • ( x ) is the dryness fraction,

  • ( h ) is the actual specific enthalpy of the steam,

  • ( h_f ) is the specific enthalpy of the saturated liquid at the given pressure,

  • ( h_g ) is the specific enthalpy of the saturated vapor at the same pressure.

The specific enthalpy values (( h_f ) and ( h_g )) can be obtained from steam tables corresponding to the pressure of 950 kPa. After finding these values, the actual enthalpy can be substituted into the formula to determine the dryness fraction.

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