Multiple Choice
Which of the following correctly defines the molar volume of an ideal gas at standard temperature and pressure (STP)?
73
views
7. Gases
The Ideal Gas Law
Multiple Choice
Using the ideal gas law, how many moles of gas are present in a 20 L container at a pressure of 2 atm and a temperature of 400 K? (Use R = 0.0821 L·atm·mol^{-1}·K^{-1})
A
1.22 mol
B
2.44 mol
C
0.41 mol
D
0.98 mol
Verified step by step guidance1
Identify the known variables from the problem: volume \(V = 20\) L, pressure \(P = 2\) atm, temperature \(T = 400\) K, and the ideal gas constant \(R = 0.0821\) L\(\cdot\) atm\(\cdot\) mol^{-1}\(\cdot\) K^{-1}$.
Recall the ideal gas law equation: \(P \times V = n \times R \times T\), where \(n\) is the number of moles of gas.
Rearrange the ideal gas law to solve for \(n\): \(n = \frac{P \times V}{R \times T}\).
Substitute the known values into the rearranged equation: \(n = \frac{2 \times 20}{0.0821 \times 400}\).
Perform the arithmetic to find the value of \(n\), which represents the number of moles of gas in the container.
Related Videos
Related Practice
