Question

use the following information to answer question 8.
a student takes a step with a snowshoe, exerting \\(600\text{ n}\\) of force on the ground. the snowshoe has an area of \\(0.15\text{ m}^2\\).
snowshoes allow users to walk on soft snow without sinking.

1. when taking a step, the student exerts a pressure of _________ on the ground.

a. \\(0.025\text{ n/m}^2\\)
b. \\(90\text{ n/m}^2\\)
c. \\(615\text{ n/m}^2\\)
d. \\(4000\text{ n/m}^2\\)

use the following information to answer question 9.
the following graph shows how many grams of baking soda will dissolve into \\(250\text{ ml}\\) of water at various temperatures.
solubility of baking soda in \\(250\text{ ml}\\) of water

1. a student fills a beaker with \\(100\text{ ml}\\) of water at \\(25\text{ }^{\circ}\text{c}\\). the concentration of the baking soda solution in the beaker is

a. \\(1\text{ g/100 ml}\\)
b. \\(5\text{ g/100 ml}\\)
c. \\(10\text{ g/100 ml}\\)
d. \\(25\text{ g/100 ml}\\)

Explanation:

<pre_analysis>
{
"quality": "clear",
"question_count": 2,
"skills_matched": [
"step_cot",
"multiple_choice_formatter",
"explain_then_answer",
"tutor",
"mastery_adaptive_brevity"
],
"needs_drawing": false,
"concepts_used": [
"Pressure Calculation",
"Solubility Curves",
"Solution Concentration"
],
"new_concepts": [],
"current_concepts": [
"Pressure Calculation",
"Solubility Curves",
"Solution Concentration"
]
}
</pre_analysis>

<reasoning>

Calculate pressure exerted on the ground

Using the Pressure Calculation knowledge point
\[

$$\begin{aligned} F &= 600\text{ N}\\ A &= 0.15\text{ m}^2\\ P &= \frac{F}{A} = \frac{600\text{ N}}{0.15\text{ m}^2} = 4000\text{ N/m}^2 \end{aligned}$$

\]

Read solubility from the graph

Using the Solubility Curves knowledge point
\[

$$\begin{aligned} T &= 25^\circ\text{C}\\ m_{\text{solute}} &= 25\text{ g (in } 250\text{ mL of water)} \end{aligned}$$

\]

Calculate concentration in standard units

Using the Solution Concentration knowledge point
\[

$$\begin{aligned} \text{Concentration} &= \frac{25\text{ g}}{250\text{ mL}} = \frac{10\text{ g}}{100\text{ mL}} \end{aligned}$$

\]
</reasoning>

<answer>

Question 8

<mcq-option>A. \(0.025\text{ N/m}^2\)</mcq-option>
<mcq-option>B. \(90\text{ N/m}^2\)</mcq-option>
<mcq-option>C. \(615\text{ N/m}^2\)</mcq-option>
<mcq-correct>D. \(4000\text{ N/m}^2\)</mcq-correct>

Question 9

<mcq-option>A. \(1\text{ g/100 mL}\)</mcq-option>
<mcq-option>B. \(5\text{ g/100 mL}\)</mcq-option>
<mcq-correct>C. \(10\text{ g/100 mL}\)</mcq-correct>
<mcq-option>D. \(25\text{ g/100 mL}\)</mcq-option>
</answer>

<post_analysis>
{
"subject": "Natural Science",
"question_type": "Multiple Choice",
"knowledge_point": [
"Natural Science",
"Physics",
"Pressure Calculation"
]
}
</post_analysis>

Answer:

<pre_analysis>
{
"quality": "clear",
"question_count": 2,
"skills_matched": [
"step_cot",
"multiple_choice_formatter",
"explain_then_answer",
"tutor",
"mastery_adaptive_brevity"
],
"needs_drawing": false,
"concepts_used": [
"Pressure Calculation",
"Solubility Curves",
"Solution Concentration"
],
"new_concepts": [],
"current_concepts": [
"Pressure Calculation",
"Solubility Curves",
"Solution Concentration"
]
}
</pre_analysis>

<reasoning>

Calculate pressure exerted on the ground

Using the Pressure Calculation knowledge point
\[

$$\begin{aligned} F &= 600\text{ N}\\ A &= 0.15\text{ m}^2\\ P &= \frac{F}{A} = \frac{600\text{ N}}{0.15\text{ m}^2} = 4000\text{ N/m}^2 \end{aligned}$$

\]

Read solubility from the graph

Using the Solubility Curves knowledge point
\[

$$\begin{aligned} T &= 25^\circ\text{C}\\ m_{\text{solute}} &= 25\text{ g (in } 250\text{ mL of water)} \end{aligned}$$

\]

Calculate concentration in standard units

Using the Solution Concentration knowledge point
\[

$$\begin{aligned} \text{Concentration} &= \frac{25\text{ g}}{250\text{ mL}} = \frac{10\text{ g}}{100\text{ mL}} \end{aligned}$$

\]
</reasoning>

<answer>

Question 8

<mcq-option>A. \(0.025\text{ N/m}^2\)</mcq-option>
<mcq-option>B. \(90\text{ N/m}^2\)</mcq-option>
<mcq-option>C. \(615\text{ N/m}^2\)</mcq-option>
<mcq-correct>D. \(4000\text{ N/m}^2\)</mcq-correct>

Question 9

<mcq-option>A. \(1\text{ g/100 mL}\)</mcq-option>
<mcq-option>B. \(5\text{ g/100 mL}\)</mcq-option>
<mcq-correct>C. \(10\text{ g/100 mL}\)</mcq-correct>
<mcq-option>D. \(25\text{ g/100 mL}\)</mcq-option>
</answer>

<post_analysis>
{
"subject": "Natural Science",
"question_type": "Multiple Choice",
"knowledge_point": [
"Natural Science",
"Physics",
"Pressure Calculation"
]
}
</post_analysis>