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Chapter 1: Problem 55

Ammonia gas is used as a refngerant 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 the ammonia gas under certain conditions is \(0.000625 g/cm^3.\)

Step by step solution

01

Understand the problem and the units

Ammonia’s density is given as 0.625 g/L and the task is to convert this into g/cm^3. To perform this conversion, firstly comprehend that 1L = 1,000 cm^3. This is the conversion factor, which is derived from the fact that 1 cm^3 = 1 mL and 1 L = 1,000 mL.
02

Conversion of units

Now, to convert it to g/cm^3, apply the conversion factor. Since 1L equals 1000 cm^3, the density of ammonia in g/cm^3 can be calculated by the formula: \[ \text{Density in g/cm^3} = \frac{\text{Density in g/L}}{1000} \]
03

Perform the calculation

By substituting the given density of ammonia in the formula, the calculation becomes \[ \text{Density in g/cm^3} = \frac{0.625 g/L}{1000} = 0.000625 g/cm^3 \]

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Most popular questions from this chapter

Carry out the following operations as if they were calculations of experimental results, and express each answer in the correct units with the correct number of significant figures: (a) \(5.6792 \mathrm{~m}+0.6 \mathrm{~m}+4.33 \mathrm{~m}\) (b) \(3.70 \mathrm{~g}-2.9133 \mathrm{~g}\) (c) \(4.51 \mathrm{~cm} \times 3.6666 \mathrm{~cm}\) (d) \(\left(3 \times 10^{4} \mathrm{~g}+6.827 \mathrm{~g}\right) /\left(0.043 \mathrm{~cm}^{3}-0.021 \mathrm{~cm}^{3}\right)\)

A student is given a crucible and asked to prove whether it is made of pure platinum. She first weighs the crucible in air and then weighs it suspended in water (density \(=0.9986 \mathrm{~g} / \mathrm{mL}\) ). The readings are \(860.2 \mathrm{~g}\) and \(820.2 \mathrm{~g},\) respectively. Based on these measurements and given that the density of platinum is \(21.45 \mathrm{~g} / \mathrm{cm}^{3},\) what should her conclusion be? (Hint: An object suspended in a fluid is buoyed up by the mass of the fluid displaced by the object. Neglect the buoyance of air.)

Name the SI base units that are important in chemistry. Give the SI units for expressing the following: (a) length, (b) volume, (c) mass, (d) time, (e) energy, (f) temperature.

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