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What is the specific heat of a substance if 300 J are required to raise the temperature of a 267–g sample by 12ºC? Show work

Respuesta :

We can use the heat equation,
Q = mcΔT 



Where, 

Q = the amount of energy transferred (J)

m = the mass of the substance (kg)

= the specific heat (J g⁻¹ °C⁻¹) 

ΔT = the temperature difference (°C).

 

According to the given data for the substance,

Q = 300 J 

m = 267 g

c = ?
ΔT = 12 °C

 

From substitution,

300 J = 267 g x c x 12 °C
       c = 0.0936 J g
⁻¹ °C⁻¹

Hence, specific heat of the given substance is 
0.0936 J g⁻¹ °C⁻¹.

PBCHEM
Amount of heat per unit mass required to raise the temperature by one degree Celsius is referred as specific heat. Mathematically, it is expressed as 

q = mcΔT

where
= heat energy
m = mass
c = specific heat
ΔT = change in temperature


Given: q = 300 J, m = 267 g, ΔT = 12 oC

∴ c = 300/(267 X 12) = 0.9363 J/g oC

Thus, specific heat of material is 0.09363 J/g oC