What is the specific heat of a metal if 100 joules are needed to raise 10 grams of water by 20°C?
A) 0.5 j°C / kg
B) 1.0 j°C / kg
C) 2.0 j°C / kg
D) 200 j°C / kg

Respuesta :

Answer: Option (A) is the correct answer.

Explanation:

Specific heat is defined as the amount of heat needed to raise the temperature by one degree celsius.

Mathematically,        Q = [tex]mC \Delta T[/tex]

where          Q = heat absorbed

                    m = mass

                    C = specific heat

              [tex]\Delta T[/tex] = change in temperature

Therefore, in 1 kg there are 100 grams so, 10 grams equal 0.01 Kg. Thus, calculate the specific heat value as follows.

                       Q = [tex]mC \Delta T[/tex]

                   100 joules = [tex]10 g \times C \times 20^{o}C[/tex]

                       C = 0.5 [tex]J/g ^{o}C[/tex]

Thus, we can conclude that specific heat of the given metal is 0.5 [tex]J/g ^{o}C[/tex].

answer: a) 0.5 J/g C