B. If the sand you ran across has a specific-heat capacity of 835 J/(kgºc),
how much energy must be added to a 2-kilogram pile of it to increase its
temperature from 40°C to 50°C? Show your work. (3 points)

Respuesta :

Answer: 16700 Joules

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 = ?

m = mass of sand = 2 kg

c = heat capacity = [tex]835J/kg^0C[/tex]

Initial temperature  = [tex]T_i[/tex] = [tex]40^0C[/tex]

Final temperature= [tex]T_f[/tex]  = [tex]50^0C[/tex]

Change in temperature ,[tex]\Delta T=T_f-T_i=(50-40)^0C=10^0C[/tex]

Putting in the values, we get:

[tex]Q=2kg\times 835J/kg^0C\times 10^0C[/tex]

[tex]Q=16700J[/tex]

16700 J of energy must be added to a 2-kilogram pile of it to increase its temperature from 40°C to 50°C