Hello!
If i have three moles of a gas at a pressure of 5.6 atm and a volume of 3 liters, what is the temperature ?
We have the following data:
n (number of moles) = 3 moles
P (pressure) = 5.6 atm
V (volume) = 12 L
T (temperature) = ? (in Kelvin)
R (gas constant) = 0.082 atm.L / mol.K
We apply the data above to the Clapeyron equation (gas equation), let's see:
[tex]P*V = n*R*T[/tex]
[tex]5.6*12 = 4*0.082*T[/tex]
[tex]67.2 = 0.328\:T[/tex]
[tex]0.328\:T = 67.2[/tex]
[tex]T = \dfrac{67.2}{0.328}[/tex]
[tex]T = 204.8780488...[/tex]
[tex]\boxed{\boxed{T \approx 205\:K}}\end{array}}\qquad\checkmark[/tex]
Answer:
The temperature is approximately 205 Kelvin
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I Hope this helps, greetings ... Dexteright02! =)