Make the following conversions using dimensional analysis. show your work. express your answers in scientific notation. 14.8g = ? µg 3.72g = ? kg 7.5 x 104j = ? kj i just got out the hospital and am currently backed up on schoolwork so and explain so i can understand.

(A)14.8 g → 1.48 × 10^7 µg

The prefix µ means “× 10^(-6)”, so 1 µg = 1 × 10^(-6) g

The conversion factor (CF) = 1 µ g/1 × 10^(-6) g

∴ Mass = 14.8 g × [1 µg/1 × 10^(-6) g] = 1.48 × 10^7 µg

(B)3.72 g → 3.72× 10^(-3) kg

The prefix k means “× 10^3”, so 1 kg = 1 × 10^3 g

CF = 1 kg/1 × 10^3 g

∴ Mass = 3.72 g × [1 kg/1 × 10^3 g] = 3.72× 10^(-3) kg

(C)7.5 × 10^4 J →  75 kJ

CF = 1 kJ/1 × 10^3 J

∴ Energy = 7.5 × 10^4 J × [1 kJ/1 × 10^3 J] = 3.72× 10^(-3) kJ = 7.5 × 10^1 kJ

= 75 kJ