Multiple Choice
What is the pressure in a 13.0 L cylinder filled with 45.8 g of oxygen gas (O2) at a temperature of 318 K, using the Ideal Gas Law? (R = 0.0821 L·atm/mol·K)
7. Gases
The Ideal Gas Law
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What is the value of the gas constant, R, in units of L·atm/mol·K? Report the value with at least three significant figures.
A
0.0821
B
1.987
C
8.314
D
62.36
Verified step by step guidance1
Understand that the gas constant, R, is a fundamental constant used in the ideal gas law equation, PV = nRT, where P is pressure, V is volume, n is the number of moles, R is the gas constant, and T is temperature.
Recognize that the value of R can be expressed in different units depending on the context. In this problem, we are asked to find R in units of L·atm/mol·K.
Recall that the value of R in L·atm/mol·K is commonly used in calculations involving gases at standard conditions. This value is derived from the ideal gas law when using pressure in atmospheres and volume in liters.
Identify the correct value of R from the given options. The value of R in L·atm/mol·K is typically 0.0821, which is consistent with the ideal gas law when using these units.
Ensure that the value is reported with at least three significant figures, which is important for precision in scientific calculations. The value 0.0821 meets this requirement.
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