The temperature of the gas is about 600 K
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Further explanation
The Ideal Gas Law that needs to be recalled is:
[tex]\large {\boxed {PV = nRT} }[/tex]
P = Pressure (Pa)
V = Volume (m³)
n = number of moles (moles)
R = Gas Constant (8.314 J/mol K)
T = Absolute Temperature (K)
Let us now tackle the problem !
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Question (Translation):
A total of 0.2 moles of ideal gas are in containers with volume of 10 liters and a pressure of 1 atm. What is the temperature of the gas?
Given:
number of moles = n = 0.2 moles
volume of gas = V = 10 liters
pressure of gas = P = 1 atm
gas contant = R = 0.0821 L.atm/mol.K
Unknown:
temperature of gas = T = ?
Solution:
[tex]PV = nRT[/tex]
[tex]1 \times 10 = 0.2 \times 0.0821 \times T[/tex]
[tex]10 = 0.01642 \times T[/tex]
[tex]T = 10 \div 0.01642[/tex]
[tex]T \approx 600 \texttt{ K}[/tex]
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Learn more
- Minimum Coefficient of Static Friction : https://brainly.com/question/5884009
- The Pressure In A Sealed Plastic Container : https://brainly.com/question/10209135
- Effect of Earth’s Gravity on Objects : https://brainly.com/question/8844454
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Answer details
Grade: High School
Subject: Physics
Chapter: Pressure
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Keywords: Gravity , Unit , Magnitude , Attraction , Distance , Mass , Newton , Law , Gravitational , Constant , Liquid , Pressure
