Question

Mercury has one of the lowest specific heat capacities. If 257 J of heat are added to 0.45 KJ of mercury, the Mercury’s temperature will increase by 4.09 K. What is the specific heat capacity of mercury?

Answer 1

Explanation:

Given parameters:

Quantity of heat, H = 257J

Mass of Mercury = 0.45kg

Temperature change = 4.09K

Unknown:

Specific heat capacity = ?

Solution:

The amount of heat absorbed by a body is given as:

   H = m c Ф

 H is quantity of heat

m is the mass of the body

 c is the specific heat

 Ф is the temperature change

   The unknown is C and we solve for it;

    257 = 0.45 x C x 4.09

      C = 139.67J/kgK

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Answer 2

Answer:

139.67 (J/kgk)

Explanation:

Given data:

mass of mercury = m = 0.45 Kg

Amount of energy = Q = 257 J

Increase in the temperature = ΔT = 4.09 K

To find:

Specific heat capacity = C

Formula:

By using specific heat equation,

Q =  m x C  X  ΔT

C =  Q  /  m  x  ΔT

   = 257J  /  o.45 kg  x  4.09K

   = 257J  / 1.84

    = 139.67 (J/kgk)

Specific heat of mercury is 139.67 (J/kgk).