To obtain nichrome, lumps of chromium weighing 14.4 kg and nickel weighing 44.5 kg

To obtain nichrome, lumps of chromium weighing 14.4 kg and nickel weighing 44.5 kg were fused. What density was the nichrome obtained?

mх = 14.4 kg.

mn = 44.5 kg.

ρх = 7200 kg / m3.

ρн = 8900 kg / m3.

ρ -?

The density of a substance ρ is the mass of a substance taken in a unit of its volume, that is, the mass of a substance taken in a volume of 1 m3.

The chargeability of a substance ρ is determined by the formula: ρ = m / V, where the mass of the whole substance, V is the volume of the substance.

According to the law of conservation of mass and volume: m = mх + mн, V = Vх + Vн.

Vх = mх / ρх, Vн = mн / ρн.

ρ = (mх + mн) / (Vх + Vн) = (mх + mн) / (mх / ρх + mн / ρн).

ρ = (14.4 kg + 44.5 kg) / (14.4 kg / 7200 kg / m3 + 44.5 kg / 8900 kg / m3) = 8414 kg / m3.

Answer: nichrome has a density ρ = 8414 kg / m3.