Question

Urgent!!!! Calculate the density of a substance in pennyweights per peck that has a volume of 0.326 hogsheads and a mass of 55.63 kg.

1 pennyweight = 1.55 grams
1 hogshead = 238.5 liters
1 peck = 9.091 liters

Answer is units of pennyweights/peck.

Answer 1

The mass is
m = 55.63 kg = 55630 g
Because 1 pennyweight = 1.55 g, therefore
m = 55630/1.55 = 35890.32 pennyweights.

The volume is
V = 0.326 hogsheads.
Because 1 hogshead = 238.5 L, therefore
V = 0.326*238.5 = 77.751 L
Because 1 peck = 9.091 L, therefore
V = 77.751/9.091 = 8.5525 pecks

The density is
ρ = m/V
= (35890.32 pennyweights) / (8.5525 pecks)
= 4196.5 pennyweights/peck

Answer: 4196.5 pennyweights/peck.