Question

five gases combined in a gas cylinder have the following partial pressures: 3.00 atm (\text{n}_2), 1.80 atm (\text{o}_2), 0.29 atm (\text{ar}), 0.18 atm (\text{he}), and 0.10 atm (\text{h}). what is the total pressure that is exerted by the gases?
use p_t = p_1 + p_2 + p_3 + \dots + p_n.

5.08 atm
5.19 atm
5.27 atm
5.37 atm

Explanation:

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<reasoning>

Identify the given partial pressures

\[

$$\begin{aligned} P_{\text{N}_2} &= 3.00\text{ atm} \\ P_{\text{O}_2} &= 1.80\text{ atm} \\ P_{\text{Ar}} &= 0.29\text{ atm} \\ P_{\text{He}} &= 0.18\text{ atm} \\ P_{\text{H}} &= 0.10\text{ atm} \end{aligned}$$

\]

Apply Dalton's Law of Partial Pressures

\[

$$\begin{aligned} P_T &= P_{\text{N}_2} + P_{\text{O}_2} + P_{\text{Ar}} + P_{\text{He}} + P_{\text{H}} \\ P_T &= 3.00 + 1.80 + 0.29 + 0.18 + 0.10 \end{aligned}$$

\]

Calculate the total pressure

\[
P_T = 5.37\text{ atm}
\]
</reasoning>

<answer>
<mcq-option>(A) 5.08 atm</mcq-option>
<mcq-option>(B) 5.19 atm</mcq-option>
<mcq-option>(C) 5.27 atm</mcq-option>
<mcq-correct>(D) 5.37 atm</mcq-correct>
</answer>

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Answer:

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<reasoning>

Identify the given partial pressures

\[

$$\begin{aligned} P_{\text{N}_2} &= 3.00\text{ atm} \\ P_{\text{O}_2} &= 1.80\text{ atm} \\ P_{\text{Ar}} &= 0.29\text{ atm} \\ P_{\text{He}} &= 0.18\text{ atm} \\ P_{\text{H}} &= 0.10\text{ atm} \end{aligned}$$

\]

Apply Dalton's Law of Partial Pressures

\[

$$\begin{aligned} P_T &= P_{\text{N}_2} + P_{\text{O}_2} + P_{\text{Ar}} + P_{\text{He}} + P_{\text{H}} \\ P_T &= 3.00 + 1.80 + 0.29 + 0.18 + 0.10 \end{aligned}$$

\]

Calculate the total pressure

\[
P_T = 5.37\text{ atm}
\]
</reasoning>

<answer>
<mcq-option>(A) 5.08 atm</mcq-option>
<mcq-option>(B) 5.19 atm</mcq-option>
<mcq-option>(C) 5.27 atm</mcq-option>
<mcq-correct>(D) 5.37 atm</mcq-correct>
</answer>

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"question_type": "Multiple Choice",
"knowledge_point": [
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"Chemistry",
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