The new volume of the balloon is about 3.24 Liters
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Further explanation
Let's recall Work Done by Ideal Gas and Ideal Gas Law formula as follows:
[tex]\boxed{ W = \int {P} \, dV }[/tex]
where:
P = Gas Pressure ( Pa )
V = Gas Volume ( m³ )
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[tex]\boxed{ P V = n R T }[/tex]
where:
P = Gas Pressure ( Pa )
V = Gas Volume ( m³ )
n = Amount of Substance ( mol )
R = Gas Constant ( 8.314 J/K.mol )
T = Gas Temperature ( K )
Let us now tackle the problem!
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Given:
initial volume of system = Vo = 3.00 L
initial temperature = To = 24.0°C = 297 K
final temperature = T = 48.0°C = 321 K
Asked:
final volume of system = V = ?
Solution:
We will use Charles's Law to solve this problem as follows:
[tex]\frac{V_o}{T_o} = \frac{V}{T}[/tex]
[tex]\frac{3.00}{297} = \frac{V}{321}[/tex]
[tex]V = \frac{321}{297} \times 3.00[/tex]
[tex]\boxed {V \approx 3.24 \texttt{ Liters}}[/tex]
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Learn more
- Buoyant Force : https://brainly.com/question/13922022
- Kinetic Energy : https://brainly.com/question/692781
- Volume of Gas : https://brainly.com/question/12893622
- Impulse : https://brainly.com/question/12855855
- Gravity : https://brainly.com/question/1724648
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Answer details
Grade: High School
Subject: Physics
Chapter: Pressure
