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cocodemain
15.04.2021 •
Chemistry
1. If I have 5 moles of a gas at a pressure of 7.6 atm and a volume of 12 liters, what is the temperature?
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Ответ:
221.22K or -51°C
Explanation:
We will be using the Ideal Gas Law to calculate the temperature of the gas. It is a mathematical relationship that describes the behavior of ideal gas ample for any combo of varying pressure, volume, temperature, and # of moles (n). It is derived by combing Boyle's Law, Charles' Law, Gay-Lussac's & Avogadro's Law.
Note: As always, remember that temperature must be in Kelvin not Celsius when using this equation.
Ideal Gas Law:
, where P = pressure, V = volume (in Liters), n = # of moles, R = the ideal gas constant, and T = temperature (in Kelvin).
Based on the problem, we are given the pressure, volume, and # of moles. We are asked to find the temperature. What about R you ask? Well, R is a constant that is the value of 1 mole of gas at STP. R has various values depending on the pressure units. In this case, our pressure is in atm so the R value = 0.0821.
Onto the math - all that needs to be done now is to plug and chug. Plug in the given values to find the temperature:
Set up:![(7.6 atm)(12L) = (5 mol)(0.0821 L*atm/(mol*K))(T)](/tpl/images/1260/4554/dd495.png)
==>![T = \frac{(7.6 atm)(12L)}{(5 mol)(0.0821 L*atm/(mol*K))}](/tpl/images/1260/4554/3d677.png)
==> T = 221.17K
The answer is 221.17K. To convert into Celsius, subtract by 273.15 to get -50.99 or -51°C.
Ответ:
m
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kilogram
kg
--
second
s
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kelvin
K
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mole
mol
-
ampere
A
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candela
cd
hope it helps : )