A piece of stainless steel weighing 1.55 g absorbs 141 J of heat energy when its temperature increases by 178°C. What is the specific heat of stainless steel?

Respuesta :

Answer: Specific heat of stainless steel is [tex]0.51J/g^0C[/tex]

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= 141 Joules

m= mass of substance = 1.55 g

c = specific heat capacity = ?

Initial temperature of the water = [tex]T_i[/tex]

Final temperature of the water = [tex]T_f[/tex]

Change in temperature ,[tex]\Delta T=T_f-T_i=178^0C[/tex]

Putting in the values, we get:

[tex]141=1.55\times c\times 178^0C[/tex]

[tex]c=0.51J/g^0C[/tex]

The specific heat of stainless steel is [tex]0.51J/g^0C[/tex]

The specific heat capacity of the steel is 511.05 J/kg°C.

What is specific heat capacity?

This is the amount of heat required to raise a mass of 1 kg of a substance through 1 degree.

To calculate the specific heat capacity of the stainless steel, we use the formula below.

Formula:

  • Q = cmΔt............ Equation 1

Where:

  • Q = Heat absorbed by the steel
  • m = mass of the still
  • c = specific heat capacity of the steel
  • Δt = change in temperature.

Make c the subject of the equation

  • c = Q/(mΔt)........ Equation 2

From the question,

Given:

  • m = 1.55 g = 0.00155 kg
  • Q = 141 J
  • ΔT = 178 °C

Substitute these values into equation 2

  • c = 141/(0.00155×178)
  • c = 511.05 J/kg°C

Hence, the specific heat capacity of the steel is 511.05 J/kg°C.

Learn more about specific heat capacity here: https://brainly.com/question/21406849

ACCESS MORE
ACCESS MORE
ACCESS MORE
ACCESS MORE