Answer: 21374 g of liquid sodium are needed to absorb 8.10 MJ of energy.
Explanation:
The quantity of heat required to raise the temperature of a substance by one degree Celsius is called the specific heat capacity.
[tex]Q=m\times c\times \Delta T[/tex]
Q = Heat absorbed=[tex]8.10MJ=8.10\times 10^6J[/tex] [tex](1MJ=10^6J[/tex]
m= mass of substance = ?
c = specific heat capacity = 30.8J/Kmol
Change in temperature ,[tex]\Delta T=T_f-T_i=10^0C=(10+273)K=283K[/tex]
Putting in the values, we get:
[tex]8.10\times 10^6J=m\times 30.8J/Kmol\times 283K[/tex]
m= 929 mol
Mass of sodium =[tex]moles\times {\text {Molar mass}}=929mol\times 23g/mol=21374g[/tex]
Thus 21374 g of liquid sodium are needed to absorb 8.10 MJ of energy.
