Multiple Choice
In an experiment using the ideal gas law, what is a likely consequence if the gas flow rate is set too high?
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7. Gases
The Ideal Gas Law Applications
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At what temperature (in K) would 2.10 moles of N_2 gas exert a pressure of 1.25 atm in a 25.0 L tank? (Use R = 0.0821 L·atm·mol^{-1}·K^{-1})
A
195 K
B
186 K
C
245 K
D
156 K
Verified step by step guidance1
Identify the known variables from the problem: number of moles \(n = 2.10\) mol, pressure \(P = 1.25\) atm, volume \(V = 25.0\) L, and the gas constant \(R = 0.0821\) L\cdot atm\cdot mol^{-1}\cdot K^{-1}$.
Recall the Ideal Gas Law equation: \(P V = n R T\), where \(T\) is the temperature in Kelvin that we need to find.
Rearrange the Ideal Gas Law to solve for temperature \(T\):
\(T = \frac{P V}{n R}\)
Substitute the known values into the rearranged equation:
\(T = \frac{(1.25\ \text{atm})(25.0\ \text{L})}{(2.10\ \text{mol})(0.0821\ \text{L\cdot atm\cdot mol^{-1}\cdot K^{-1}})}\)
Calculate the value from the substitution to find the temperature \(T\) in Kelvin.
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