Titanium metal is used as a structural material in many high-tech applications such as jet engines. What is the specific heat of titanium in J/g°C if it takes 99.7 J to raise the temperature of a 34.7 g block by 5.20°C?

0.553 J/g°C

Explanation:

From the question given above, the following data were obtained:

Heat (Q) required = 99.7 J

Mass (M) = 34.7 g

Temperature change (ΔT) = 5.20 °C

Specific heat capacity (C) =?

Thus, we can obtain the specific heat capacity of titanium as follow:

Q = MCΔT

99.7 = 34.7 × C × 5.20

99.7 = 180.44 × C

Divide both side by 180.44

C = 99.7 / 180.44

C = 0.553 J/g°C

Therefore, the specific heat capacity of titanium is 0.553 J/g°C.