Given the temperature and mass as input variables, construct a spreadsheet that uses linear interpolation to determine hv and the pressure and then calculate the required amount of heat to completely vaporize the water.

Hi. I think that you must specify that both temperature and pressure are at saturation point. I'm attaching a document and I hope it provide enough information in order to understand clearly the explanation below

Explanation:

In order to give a solution to this problem you should take into account the following steps:

Type the following properties: Saturation temperature, saturation pressure, enthalpy of saturated liquid (hf) and enthalpy of saturated vapour (hg). I personally suggest the annexed properties tables of Yunes Cengel.Extract the necessary data in order to calculate the unknown properties (pressure and hv). This part is really important because we have to use specific commands in the spreadsheet; I'm going to explain it deeply below:First of all, we must provide a temperature and we have to extract from the properties table in the spreadsheet: the nearest lower temperature and the nearest higher temperatureTo do this, we must use the command lookup. The task of this command is search a value close to a value provided. The command lookup always extract the nearest lower value.

The command lookup is used like this:

=+lookup(Value provided by the user; list to compare the value provided; corresponding data list)

In this case, the value provided by the user is any temperature, the list to compare the value provided is the column of saturating temperature and the corresponding data list is the saturating pressure (or the enthalpy)

Now, we have to extract the nearest higher value. To do this, we must take into account that the nearest higher value correspond to the value located in the next row of the nearest lower valueIf we know the arrow where a value is located, we can use the command index and we can extract its value.

The comand index is used like this:

=index(data matrix, row, column)

In this case the data matrix is the properties table that you type in the spreadsheet, row is the row where is located the nearest lower value (since we are extracting the nearest higher value you must type row +1) and column is the column of interest data (in this case the pressure or the enthalpy).

Once you extract all the information that you need the following step is to interpolate with equation (1):

(1)

Remember that y is the dependent variable (in this case, pressure or enthalpy) and x is the independent variable (in this case, temperature)

Finally, calculate the amount of heat to vaporize any quantity of water. To do this, you must multiply the interpolated value of vaporization enthalpy by the mass of water (in mass or moles according to the units). The equation is shown below:

(2)

I know that understanding the commands is a bit complicated, for that reason I attached a spreadsheet with an example. I suggest to read the explanation and analyze carefully the commands.

  sequence  is a continuous and distinctive band of  stars  that appears on plots of stellar  color  versus  brightness. these color-magnitude plots are known as  hertzsprung–russell diagramsafter their co-developers,  ejnar hertzsprungand  henry norris russell. stars on this band are known as  main-sequence stars  or  dwarf stars. these are the most numerous true stars in the universe, and include the earth's  sun.after condensation and ignition of a star, it generates  thermal energy  in its dense core region through  nuclear fusion  of  hydrogen  into  helium. during this stage of the star's lifetime, it is located on the main sequence at a position determined primarily by its mass, but also based upon its chemical composition and age. the cores of main-sequence stars are in  hydrostatic equilibrium, where outward thermal pressure from the hot core is balanced by the inward pressure of  gravitational collapse  from the overlying layers. the strong dependence of the rate of energy generation on temperature and pressure to sustain this balance. energy generated at the core makes its way to the surface and is radiated away at the  photosphere. the energy is carried by either  radiation  or  convection, with the latter occurring in regions with steeper temperature gradients, higher opacity or both.the main sequence is sometimes divided into upper and lower parts, based on the dominant process that a star uses to generate energy. stars below about 1.5 times the  mass of the sun  (1.5  m☉) primarily fuse hydrogen atoms together in a series of stages to form helium, a sequence called the  proton–proton chain. above this mass, in the upper main sequence, the nuclear fusion process mainly uses atoms of  carbon,  nitrogen  and  oxygen  as intermediaries in the  cno cycle  that produces helium from hydrogen atoms. main-sequence stars with more than two solar masses undergo convection in their core regions, which acts to stir up the newly created helium and maintain the proportion of fuel needed for fusion to occur. below this mass, stars have cores that are entirely radiative with convective zones near the surface. with decreasing stellar mass, the proportion of the star forming a convective envelope steadily increases. main-sequence stars below 0.4  m☉undergo convection throughout their mass. when core convection does not occur, a helium-rich core develops surrounded by an outer layer of hydrogen.in general, the more massive a star is, the shorter its lifespan on the main sequence. after the hydrogen fuel at the core has been consumed, the star  evolves  away from the main sequence on the hr diagram, into a  supergiant,  red giant, or directly to a  white dwarf.