Temperature Formula

Temperature is the average kinetic energy of the particles in a given substance. It tells us how hot or cold an object is and is one of the major steps for many physical and chemical processes.

Temperature change varies with the amount of heat that is released or absorbed. The S.I unit of temperature is Kelvin.

Formula 

The Temperature formula is given by

 Δ T = Q / mc

Where,

• Δ T = temperature difference

• Q = amount of heat absorbed or released,

• m = mass of the body

• c = specific heat of the body.

Solved Examples

Example 1: Determine the temperature if 200 J of heat is released by the body of mass 6 Kg and has a specific heat of 0.8 J/KgoC .

Solution:

Given,

Heat released Q = 200 J,

Mass m = 6 Kg,

Specific heat c = 0.8 J/K go C

Temperature is given by

 ΔT = Q / mc

= 200 / 6 × 0.8

ΔT= 41.66oC .

Example 2: Determine the heat released when the temperature changes by 40oC by a body of mass 3 Kg which has a specific heat of 0.7 J/kgoC.

Solution:

Given,

Temperature change = 40oC ,

Mass m = 3 kg,

Specific heat c = 0.7 J/kgoC ,

The Heat released formula  is given by 

Q = mc ΔT

Q = 3 0.7 40

Q = 84 J

 

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