To find the specific heat capacity of aluminum, we can use the formula:q = mcTwhere q is the heat added in Joules , m is the mass of the aluminum block in grams , c is the specific heat capacity in J/gC , and T is the change in temperature in C .We are given the following information:q = 500 Jm = 100 gT = 90C - 20C = 70CNow we can solve for the specific heat capacity c :500 J = 100 g * c * 70C To isolate c, we can divide both sides by 100 g * 70C :c = 500 J / 100 g * 70C c = 500 J / 7000 gCc 0.0714 J/gCThe specific heat capacity of aluminum is approximately 0.0714 J/gC.