Answer: The volume is: " 1.430 cm³ " . _____________________________ Explanation: ________________________ Volume, " V = ? ; (unknown, we need to solve for this). Density, "D = 19.32 g / cm³ ; mass , "m" = 27.63 g ; _____________________________________________ The formula for density is: ____________________________________________ D = m / V ; Divide each side of the equation by: "(1/m)" ; to isolate " V" on one side of the equation; and to solve for "V" ; ____________________________________________ 1/m)*D = (1/m) * (m / V) ; _______________________________ to get: _______________________________ D/m = ; ↔ 1 / V ; Take the reciprocal of EACH SIDE; to isolate "V" on each side of the equation: _____________________________ m / D = V/1 ↔ V = m / D ; _____________________________ V = m / D ; _______________________________ Now, plug in our given values for mass, "m" ; and Density, D"; to solve for "Volume, V " ; _____________________________________ V = m / D = (27.63 g) ÷ (<span>19.32 g / cm</span>³) ;
= (27.63 g) * (1 cm³ / 19.32 g) ;
= (27.63 ÷ 19.32) cm³ ;
= 1.4301242236024845 cm³ ;
→ Round to "4 significant figures" ; = 1.430 cm³ . ____________________________________________ The volume is: " 1.430 cm³ " . ______________________________________________
