https://file.aiquickdraw.com/mathbot/file/1729062582780r9vcl43o.jpg

Let's solve the given problems from the image step by step:

### (A) Determine the density in degrees Baumé, degrees Twaddell, and kg/m³ for a liquid with a specific gravity of 1.2 at 60°F/60°F.

1. **Conversion to Degrees Baumé (°Bé) for liquids:**
   The formula for converting specific gravity (SG) to degrees Baumé for liquids heavier than water is:
   \[
   \text{°Bé} = 145 - \frac{145}{\text{SG}}
   \]
   Substituting the specific gravity value:
   \[
   \text{°Bé} = 145 - \frac{145}{1.2} = 145 - 120.83 \approx 24.17
   \]

2. **Conversion to Degrees Twaddell (°Tw):**
   The formula for converting specific gravity to degrees Twaddell is:
   \[
   \text{°Tw} = 200 \times (\text{SG} - 1)
   \]
   Substituting the specific gravity value:
   \[
   \text{°Tw} = 200 \times (1.2 - 1) = 200 \times 0.2 = 40
   \]

3. **Conversion to kg/m³:**
   The density in kg/m³ can be obtained by multiplying the specific gravity by the density of water (approximately 1000 kg/m³):
   \[
   \text{Density} = 1.2 \times 1000 = 1200 \text{ kg/m³}
   \]

### (B) Convert the temperature from 353.2 K to °F, °C, and R.

1. **Kelvin to Celsius (°C):**
   The formula is:
   \[
   \text{°C} = K - 273.15
   \]
   Substituting the given temperature:
   \[
   \text{°C} = 353.2 - 273.15 = 80.05
   \]

2. **Celsius to Fahrenheit (°F):**
   The formula is:
   \[
   \text{°F} = \text{°C} \times \frac{9}{5} + 32
   \]
   Substituting the Celsius value:
   \[
   \text{°F} = 80.05 \times \frac{9}{5} + 32 = 176.09
   \]

3. **Kelvin to Rankine (R):**
   The formula is:
   \[
   R = K \times \frac{9}{5}
   \]
   Substituting the given temperature:
   \[
   R = 353.2 \times \frac{9}{5} = 635.76
   \]

Would you like further details or have any questions? Here are some related questions to consider:

1. How do you convert specific gravity to other density units like lb/ft³?
2. What is the relationship between specific gravity and fluid properties in different industries?
3. Why is the Rankine scale used in thermodynamic calculations?
4. How do changes in temperature affect the density of liquids?
5. Can you explain the significance of the degrees Baumé and Twaddell scales in practical applications?

**Tip:** When dealing with specific gravity, remember that it is a unitless measure, comparing the density of a substance to that of water at a specified temperature (usually 4°C).

1) Suatu lautan mempunyai specific gravity 60°F/60°F sebesar 1.2. Tentukan densitas dalam derajat Baumé, derajat Twaddell, dan kg/m³.
2) Suhu suatu reaksi kimia diperoleh 353.2 K. Tentukan suhu tersebut dalam °F, °C, dan R.
3) Suatu campuran gas mengandung 10% mole N₂, 56% mole O₂ dan 34% CO₂. Tentukan...

Learn how to calculate density in Baumé, Twaddell, and kg/m³ from specific gravity, convert temperatures from Kelvin to Fahrenheit, Celsius, and Rankine, and analyze a gas mixture of N₂, O₂, and CO₂. This guide provides step-by-step solutions for engineering and chemistry students.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation