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

if two electrons have the same n, the same ℓ, and the same ml, then they are in the same orbital. the pauli exclusion principle states that no two identical fermions (a fancy word for electrons and other subatomic particles like electrons) may occupy the same quantum state in an atom simultaneously.

acid rain does not usually kill trees directly. instead, it is more likely to weaken the trees by damaging their leaves, limiting the nutrients available to them, or poisoning them with toxic substances slowly released from the soil. the main atmospheric pollutants that affect trees are nitrates and sulphates.