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Chapter 1: Problem 54

Ammonia gas is used as a refrigerant in large-scale cooling systems. The density of ammonia gas under certain conditions is \(0.625 \mathrm{~g} / \mathrm{L}\). Calculate its density in \(g / \mathrm{cm}^{3}\)

Short Answer

Expert verified
The density of ammonia gas under the given conditions is \(0.000625 g/cm^3\)

Step by step solution

01

Understand the Conversion

Recognize that the conversion is from grams per liter (g/L) to grams per cubic centimeter (g/cm^3). From known equivalences, it is known that 1 liter = 1000 cm^3.
02

Setup the Conversion

Since we know the density in grams per liter (0.625 g/L) and we know that 1 L = 1000 cm^3, we can set up the conversion: \[Density (g/cm^3) = \frac{Density (g/L)}{1000}\]
03

Perform the Conversion

Plug the given density value into the equation from Step 2: \[Density (g/cm^3) = \frac{0.625 g/L}{1000} = 0.000625 g/cm^3\] The units of liters cancel out, leaving the density in grams per cubic centimeter.

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Most popular questions from this chapter

A cylindrical glass bottle \(21.5 \mathrm{~cm}\) in length is tilled with cooking oil of density \(0.953 \mathrm{~g} / \mathrm{mL}\). If the mass of the oil needed to fill the bottle is \(1360 \mathrm{~g}\), calculate the inner diameter of the bottle.

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