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Gnom [1K]
3 years ago
11

Nitric acid (specific gravity 1.42) costs $51.95 per liter. A student spills 5.112 kg of nitric acid in the laboratory, what is

the cost of the nitric acid wasted?
Mathematics
1 answer:
Leno4ka [110]3 years ago
5 0

Answer:

The cost of wasted nitric acid is $187.02

Step-by-step explanation:

Since it is given that specific gravity of Nitric Acid is 1.42 Thus the density of nitric acid is

\rho _{acid}=S.G\times \rho _{water}\\\\\\\rho_{acid}=1.42\times 1\frac{g}{cm^3}\\\\\rho_{acid}=1.42g/cm^3

Now from the basic relation of mass volume and density we have

\rho =\frac{Mass}{Volume}\\\\\therefore Volume=\frac{Mass}{\rho }

Since the mass of the nitric acid is given to be 5.112 kg = 5112 grams

Thus the volume of nitric acid is

Volume=\frac{5112}{1.42}=3600cm^3

Now we know that 1000 cubic centimeters euals 1 litrer

Thus the calculated volume in liters is

V_{liters}=\frac{3600}{1000}=3.6Liters

Thus the cost of acid spilled  equals

Cost=3.6\times 51.95=187.02

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