Complete the equation for the dissociation of the electrolyte AgNO, (aq)

1. Complete the equation for the dissociation of the electrolyte AgNO, (aq). Omit water from the equation because it is understood to be present. equation: AgNO, (aq) — I

2. Convert 13.6 g/cm³ to kg/m³

The Correct Answer and Explanation is :

1. Complete the Equation for the Dissociation of AgNO₃ in Water:

Silver nitrate (AgNO₃) is a strong electrolyte, meaning it completely dissociates in water into its constituent ions:

[
\text{AgNO}_3 (aq) \rightarrow \text{Ag}^+ (aq) + \text{NO}_3^- (aq)
]

2. Convert 13.6 g/cm³ to kg/m³:

We use the following unit conversions:

• (1 \text{ g} = 10^{-3} \text{ kg})
• (1 \text{ cm}^3 = 10^{-6} \text{ m}^3)

Now, applying these conversions:

[
13.6 \frac{g}{cm^3} \times \frac{10^{-3} \text{ kg}}{1 \text{ g}} \times \frac{10^6 \text{ cm}^3}{1 \text{ m}^3}
]

[
= 13.6 \times 10^3 \frac{kg}{m^3}
]

[
= 13,600 \frac{kg}{m^3}
]

Thus, 13.6 g/cm³ = 13,600 kg/m³.

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Explanation:

Density is defined as mass per unit volume. The given density is in grams per cubic centimeter (g/cm³), but we need to convert it to kilograms per cubic meter (kg/m³).

1. Understanding the Conversion Factors

• 1 gram (g) = 0.001 kilograms (kg)
• 1 cubic centimeter (cm³) = (10^{-6}) cubic meters (m³)

1. Conversion from g/cm³ to kg/m³

• Since there are 1,000 grams in a kilogram, converting from grams to kilograms requires multiplying by (10^{-3}).
• Since there are 1,000,000 cm³ in a cubic meter, converting cm³ to m³ requires multiplying by (10^6).

1. Applying the Calculation

• First, convert grams to kilograms:
  (13.6 \text{ g} = 13.6 \times 10^{-3} \text{ kg})
• Next, convert cm³ to m³:
  (1 \text{ cm}^3 = 10^{-6} \text{ m}^3)
• Combining both, we get:
  ( \frac{13.6 \times 10^{-3} \text{ kg}}{10^{-6} \text{ m}^3} = 13.6 \times 10^3 \text{ kg/m}^3 )
• This simplifies to 13,600 kg/m³.

This conversion is often used in physics and engineering, especially for materials like mercury, which has a high density of 13.6 g/cm³ (or 13,600 kg/m³). The ability to convert between units is crucial for practical applications, including fluid mechanics, material science, and chemistry.

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