Examples: Physical property data calculation using the Property table grid panel |

Thermodynamic Property Standard, Inc. |

The Yellow Pages for Fluid Properties. |

Example 1.1: Calculate density for Sulfur Dioxide at specified temperature (250 K) and pressure (10000 kPa) Start TPSI software Select Sulfur Dioxide in the File menu Select Property table grid in the Panel menu Select input quantities (right mouse click on the table headers, change input quantity) Select output quantities (checkmark items in the output quantity list) Select units (right mouse click on the table headers, quantity unit) Type pressure and temperature values in the table grid Add or remove displayed value digits with the small arrows below the table The calculation is automatically performed and the resulting output quantity is displayed according to the user specifications of substance, quantities, units, number formats. The phase region is also displayed: liquid, density 1.5071 g/ml Example 1.2: Calculate density, viscosity and thermal conductivity for liquid Sulfur Dioxide in the saturated state in the pressure range 2000 � 12000 kPa Type the first pressure value (2000 kPa) in the table grid Right click in this cell and select - convert pressure to saturation data � Row 1 to saturated liquid The boiling temperature and the liquid phase properties are calculated. Instead of manually multiple typing of pressure data and repeating the calculation enter pressure step size (e.g. 500 kPa) number of values (e.g. 20) at the bottom of the table grid. Click on + adds 20 values in the defined intervals. Mark the entire table or the desired lines and right click in any pressure cell. Select selected rows to saturated liquid. The values above 7500 kPa were not calculated, because the critical pressure was exceeded and no saturated state is available at higher pressures. Right click in a temperature cell allows to assign critical temperature Right click in the corresponding pressure cell allows to assign critical pressure Enter a little smaller pressure value (e.g. 7883 kPa below 7444 kPa critical pressure and repeat the saturated liquid calculation Right click outside the table grid and select Display mode � Chart at left Choose x and y quantities and display desired chart Select Phase boundary from the Panel menu to do all the above steps automatically for both liquid and vapor phases Select quantities, ranges, number of points and approach the critical point as close as wanted Example 1.3: Calculate the pressure change with temperature for gaseous Sulfur Dioxide between 350 K, 1500 kPa and 500 K at constant density Type starting values for pressure and temperature and calculate density Change pressure input quantity to density Display pressure as output quantity Set density step size to zero and increase the pressure by defining intervals and number of points The resulting pressure at 500 K is 2388.1 kPa Example 1.4: Calculate the temperature change with expansion of gaseous Sulfur Dioxide at 500 K from 20000 kPa to 1000 kPa at constant internal energy Type starting values for pressure and temperature and calculate internal energy Change temperature input quantity to internal energy Display temperature as output quantity Set internal energy step size to zero and decrease the pressure by defining intervals and number of points Temperature decreases fast and reaches a level of meta-stability at 423 K and 7000 kPa. This means that at this point sulfur dioxide would start to condense. Other quantities like the fugacity coefficients can be selected in the chart. Example 1.5: Calculate the Joule-Thomson coefficient for gaseous Nitrogen at 30 MPa and temperatures between180 and 600 K Select Methane in the File menu Select Property table grid in the Panel menu Select input quantities (right mouse click on the table headers, change input quantity) Select output quantities (checkmark items in the output quantity list) Select units (right mouse click on the table headers, quantity unit) Type pressure and temperature values in the table grid Type starting values for pressure and temperature and calculate the Joule-Thomson coefficient Set pressure step size to zero and increase the temperature by defining intervals and number of points Display the Joule-Thomson coefficient vs. temperature chart At the given pressure the Joule-Thomson coefficient changes its sign at about 420 K. This means that isenthalpic expansion at higher temperatures results in temperature increase, and expansion at lower temperatures results in temperature decrease. Example 1.6: Calculate the Carnot-Cycle for gaseous Methane at pressure levels 10 MPa / 38 MPa and temperature levels 300 K / 385 K Select Methane in the File menu Select Property table grid in the Panel menu Select input quantities (right mouse click on the table headers, change input quantity) Select output quantities (checkmark items in the output quantity list) Select units (right mouse click on the table headers, quantity unit) Type starting pressure and temperature values in the table grid and reduce pressure at constant temperature (300 K and 13 MPa � 10 MPa) Change temperature input quantity to volume, pressure input quantity to entropy, and reduce volume at constant entropy (-41.938 J/(mol K) and 0.213 l/mol � 0.113 l/mol) Change volume input quantity to temperature, entropy input quantity to pressure, and increase pressure at constant temperature (384.4 K and 28.259 MPa � 38.259 MPa) Change temperature input quantity to volume, pressure input quantity to entropy, and reduce volume at constant entropy (-45.275 J/(mol K) and 0.090 l/mol � 0.160 l/mol) The cycle can be displayed as chart of pressure vs. volume, enthalpy vs. pressure, work pV vs. temperature, and many more variations |