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the pressure inside a gas cylinder is 3,506 mmhg. how many atmospheres …

Question

the pressure inside a gas cylinder is 3,506 mmhg. how many atmospheres of pressure is the gas exerting on the cylinder?

0.2168 atm
4.613 atm
34.60 atm
467.4 atm

Explanation:

Response

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<reasoning>

Identify the conversion factor between mmHg and atm

\[
1\text{ atm} = 760\text{ mmHg}
\]

Convert the given pressure to atmospheres

\[
P = \frac{3506\text{ mmHg}}{760\text{ mmHg/atm}} \approx 4.61315789\text{ atm}
\]

Match with the correct option

\[
P \approx 4.613\text{ atm}
\]
</reasoning>

<answer>
<mcq-option>(A) 0.2168 atm</mcq-option>
<mcq-correct>(B) 4.613 atm</mcq-correct>
<mcq-option>(C) 34.60 atm</mcq-option>
<mcq-option>(D) 467.4 atm</mcq-option>
</answer>

<post_analysis>
{
"subject": "Natural Science",
"question_type": "Multiple Choice",
"knowledge_point": [
"Natural Science",
"Chemistry",
"Pressure Unit Conversion"
]
}
</post_analysis>

Answer:

<pre_analysis>
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"step_cot",
"multiple_choice_formatter",
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],
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],
"new_concepts": [],
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</pre_analysis>

<reasoning>

Identify the conversion factor between mmHg and atm

\[
1\text{ atm} = 760\text{ mmHg}
\]

Convert the given pressure to atmospheres

\[
P = \frac{3506\text{ mmHg}}{760\text{ mmHg/atm}} \approx 4.61315789\text{ atm}
\]

Match with the correct option

\[
P \approx 4.613\text{ atm}
\]
</reasoning>

<answer>
<mcq-option>(A) 0.2168 atm</mcq-option>
<mcq-correct>(B) 4.613 atm</mcq-correct>
<mcq-option>(C) 34.60 atm</mcq-option>
<mcq-option>(D) 467.4 atm</mcq-option>
</answer>

<post_analysis>
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"question_type": "Multiple Choice",
"knowledge_point": [
"Natural Science",
"Chemistry",
"Pressure Unit Conversion"
]
}
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