an unknown substance with a mass of 100 grams absorbs 1000 J while undergoing a temperature increase of 15 C. what is the specific heat capacity of the substance?
A. 0.7 J/g*C
B. 7.0 J/ g*C
C. 70 J/ g*C
D. 700 J/ g*C

Respuesta :

gogji
B is the correct answer to the question

The specific heat of the given substance is required.

The specific heat capacity of the substance is A. [tex]0.7\ \text{J/g}^{\circ}\text{C}[/tex]

m = Mass of substance = 100 g

Q = Heat absorbed = 1000 J

[tex]\Delta T[/tex] = Change in temperature = [tex]15^{\circ}\text{C}[/tex]

c = Specific heat capacity

Heat is given by

[tex]Q=mc\Delta T\\\Rightarrow c=\dfrac{Q}{m\Delta T}\\\Rightarrow c=\dfrac{1000}{100\times 15}\\\Rightarrow c=0.66\approx 0.7\ \text{J/g}^{\circ}\text{C}[/tex]

The specific heat capacity of the substance is A. [tex]0.7\ \text{J/g}^{\circ}\text{C}[/tex]

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