Answer:
See explanation below
Explanation:
First, you are not providing any data to solve this, so I'm gonna use some that i made up to explain to you, how to solve it. Then, you can go and replace the data you have with the procedure here
The concentration of liquid sodium will be aroun 8.5 MJ of energy, and I will assume that the temperature will not be increased more than 15 °C.
The expression to calculate the amount of energy is:
Q = m * cp * dT
Where:
m: moles needed
cp: specific heat of the substance.
The cp of liquid sodium reported is 30.8 J/ K mole
Replacing all the data in the above formula, and solving for m we have:
m = Q / cp * dT
dT is the increase of temperature. so 15 ° C is the same change for 15 K.
We also need to know that 1 MJ is 1x10^6 J, so replacing all data:
m = 8.5 * 1x10^6 J / 30.8 J/K mole * 15
m = 18,398.27 moles
The molar mass of sodium is 22.95 g/mol so the mass is:
mass = 18,398.27 * 22.95 = 422,240.26 g or simply 422 kg rounded.
