Q5. A construction site has a soil sample with the following details:

Wet weight of the sample (Wwet): 6.2 kg

Dry weight (Wdry): 5.3 kg

Total volume

Volume of solids
Tasks:

Calculate the density of the wet sample.

Calculate the unit weight of the wet sample.

Calculate the porosity .

Ask by Schultz Ortega. in Rwanda

Jan 13,2025

Question

Q5. A construction site has a soil sample with the following details:

Wet weight of the sample (Wwet): 6.2 kg

Dry weight (Wdry): 5.3 kg

Total volume

Volume of solids
Tasks:

Calculate the density of the wet sample.

Calculate the unit weight of the wet sample.

Calculate the porosity .

Ask by Schultz Ortega. in Rwanda

Jan 13,2025

UpStudy AI · Accepted Answer

Let's solve each part of the problem step-by-step.

### Given Data:
- **Wet Weight ($$ W_{\text{wet}} $$)**: 6.2 kg
- **Dry Weight ($$ W_{\text{dry}} $$)**: 5.3 kg
- **Total Volume ($$ V $$)**: 0.004 m³
- **Volume of Solids ($$ V_s $$)**: 0.003 m³

---

### 1. **Density of the Wet Sample ($$ \rho_{\text{wet}} $$)**

**Formula:**
$$
\rho_{\text{wet}} = \frac{W_{\text{wet}}}{V}
$$

**Calculation:**
$$
\rho_{\text{wet}} = \frac{6.2 \, \text{kg}}{0.004 \, \text{m}^3} = 1550 \, \text{kg/m}^3
$$

**Answer:**
$$
\boxed{1550\, \text{kg/m}^3}
$$

---

### 2. **Unit Weight of the Wet Sample ($$ \gamma_{\text{wet}} $$)**

**Formula:**
$$
\gamma_{\text{wet}} = \rho_{\text{wet}} \times g
$$
Where $$ g = 9.81 \, \text{m/s}^2 $$ (acceleration due to gravity)

**Calculation:**
$$
\gamma_{\text{wet}} = 1550 \, \text{kg/m}^3 \times 9.81 \, \text{m/s}^2 = 15175.5 \, \text{N/m}^3 \approx 15.2 \, \text{kN/m}^3
$$

**Answer:**
$$
\boxed{15.2\, \text{kN/m}^3}
$$

---

### 3. **Porosity ($$ n $$)**

**Formula:**
$$
n = \frac{V_{\text{voids}}}{V} = \frac{V - V_s}{V}
$$

**Calculation:**
$$
V_{\text{voids}} = V - V_s = 0.004 \, \text{m}^3 - 0.003 \, \text{m}^3 = 0.001 \, \text{m}^3
$$
$$
n = \frac{0.001 \, \text{m}^3}{0.004 \, \text{m}^3} = 0.25 \, \text{or} \, 25\%
$$

**Answer:**
$$
\boxed{25\%}
$$

---

### Summary of Answers:
1. **Density of the wet sample:** 1550 kg/m³
2. **Unit weight of the wet sample:** 15.2 kN/m³
3. **Porosity:** 25 %
- **Density of the wet sample:** 1550 kg/m³ - **Unit weight of the wet sample:** 15.2 kN/m³ - **Porosity:** 25%

Q5. A construction site has a soil sample with the following details:

Wet weight of the sample (Wwet): 6.2 kg

Dry weight (Wdry): 5.3 kg

Total volume

Volume of solids
Tasks:

Calculate the density of the wet sample.

Calculate the unit weight of the wet sample.

Calculate the porosity .

Solución de inteligencia artificial de Upstudy

Responder

Solución

Given Data:

1. Density of the Wet Sample ()

2. Unit Weight of the Wet Sample ()

3. Porosity ()

Summary of Answers:

Beyond the Answer

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Q5. A construction site has a soil sample with the following details: Wet weight of the sample (Wwet): 6.2 kg Dry weight (Wdry): 5.3 kg Total volume Volume of solids Tasks: Calculate the density of the wet sample. Calculate the unit weight of the wet sample. Calculate the porosity .

Solución de inteligencia artificial de Upstudy

Responder

Solución

Given Data:

1. Density of the Wet Sample ( )

2. Unit Weight of the Wet Sample ( )

3. Porosity ( )

Summary of Answers:

Beyond the Answer

preguntas relacionadas

Latest Engineering Questions

Q5. A construction site has a soil sample with the following details:

Wet weight of the sample (Wwet): 6.2 kg

Dry weight (Wdry): 5.3 kg

Total volume

Volume of solids
Tasks:

Calculate the density of the wet sample.

Calculate the unit weight of the wet sample.

Calculate the porosity .

1. Density of the Wet Sample ()

2. Unit Weight of the Wet Sample ()

3. Porosity ()