Microwaved Superheated Water

[Razorback]

Homework Statement

1 Liter of water is microwaved to 103 Celcius at 1atm atmospheric pressure.
1)How much energy is released when you add a nucleation site to the container to release steam?Heat capacity of liquid water is 4.184 J/K*g
2)Ignoring surface tension, how much steam in mL could be produced given the latent heat of boiling water is 2260 J/g?

Homework Equations

H=U+PV
U=[Cv]Delta[T]

The Attempt at a Solution

U=[Cv]Delta[T]
U=(4.184 J/K*g)(3 K)
U=12.552 J/g

or

U=H-PV H(.1 MPa, 103 C)=2676.2 kJ/kg
U=(2676.2)-(.1 MPa)([10 [m]^{3}) steam tables and converting atm to MPa
U=2675.2 kJ/kg


As far as part 2 goes, I really need some help.

 

[Astronuc]

Convert the liter of water to a mass and determine the number of moles. One can find the volume of steam using the ideal gas - 1 mole of gas occupies 22.4 l of volume.

Otherwise use a steam table and select the appropriate specific volume for steam at 1 atm and 103C (slightly superheated), and multiply by the mass.

 

[piercas]

For part 2, we can use the equation Q = mL, where Q is the energy released, m is the mass of water, and L is the latent heat of boiling water. We know that the energy released is equal to the change in internal energy (U) of the water when it is heated to its boiling point and then converted to steam. So we can set up the following equation:

Q = U = (4.184 J/K*g)(100 K) = 418.4 J/g

To find the mass of water, we can use the equation m = Vρ, where V is the volume of water and ρ is the density of water. We know that the volume of water is 1 L, and the density of water at room temperature is about 1 g/mL. So:

m = (1 L)(1 g/mL) = 1000 g

Now we can plug in our values into the equation Q = mL:

Q = (1000 g)(418.4 J/g) = 418,400 J

Finally, we can convert the energy from joules to milliliters of steam by using the given latent heat of boiling water:

418,400 J x (1 g/2260 J) = 185.02 g = 185.02 mL

Therefore, approximately 185 mL of steam could be produced from the 1 liter of water when it is heated to 103 degrees Celsius and converted to steam.