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Suppose a 150 mL . Erlenmeyer flask with a gas syringe attached to it contains butane at a pressure of 1.000
atm . What is the total volume (mL) of butane at 53°C ?
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Question:
Give step-by-step solution with explanation and final answer: . Ro) Vo 5G
10:57 © ®n @
a [J
axpert.chegg.com + :
Chegg Expert Q&A My solutions 0) Notifications 8 +
Hide student question (© Time Left : 01:57:49
Student question
Applying Graph Data
Suppose a 150 mL . Erlenmeyer flask with a gas syringe attached to it contains butane at a pressure of 1.000
atm . What is the total volume (mL) of butane at 53°C ?
6
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This is AI generated Response.
Asked by: Test User 100157
Created at: 2025-05-05 10:59:00
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Let's break down the problem:
**Given:**
- Initial volume, \( V_1 = 150 \) mL
- Initial pressure, \( P_1 = 1.000 \) atm
- Initial temperature, \( T_1 \) (not given, but let's assume standard temperature, \( 0^\circ C = 273 \) K, unless otherwise specified)
- Final temperature, \( T_2 = 53^\circ C = 53 + 273 = 326 \) K
- Final pressure, \( P_2 = 1.000 \) atm (assuming pressure is constant, since only temperature changes)
**Asked:**
- Final volume, \( V_2 \) at \( T_2 = 53^\circ C \)
### **Step 1: Use Charles's Law**
Charles's Law states:
\[
\frac{V_1}{T_1} = \frac{V_2}{T_2}
\]
### **Step 2: Plug in the values**
Assume \( T_1 = 273 \) K (if not given, typically standard temperature):
\[
\frac{150 \text{ mL}}{273 \text{ K}} = \frac{V_2}{326 \text{ K}}
\]
### **Step 3: Solve for \( V_2 \)**
\[
V_2 = 150 \text{ mL} \times \frac{326 \text{ K}}{273 \text{ K}}
\]
\[
V_2 = 150 \times 1.194
\]
\[
V_2 \approx 179.1 \text{ mL}
\]
---
### **Final Answer:**
**The total volume of butane at \( 53^\circ C \) is approximately \( \boxed{179 \text{ mL}} \) (rounded to 3 significant figures).**
---
**If you have a different initial temperature, replace \( 273 \) K with the correct value in step 2.**
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