QuestionApril 17, 2026

__ 21. In chemistry, there is a law called the Ideal Gas Law that says: The volume of a gas varies directly as the temperature (T) and the number of moles (n), and inversely as the pressure (P). In the Ideal Gas Law, the letter r is used as the constant (instead of k). Find the value of r if the volume of 1 mole of a gas is 22.4 liters when the pressure is 1 atmosphere and the temperature is 273 Kelvin.

__ 21. In chemistry, there is a law called the Ideal Gas Law that says: The volume of a gas varies directly as the temperature (T) and the number of moles (n), and inversely as the pressure (P). In the Ideal Gas Law, the letter r is used as the constant (instead of k). Find the value of r if the volume of 1 mole of a gas is 22.4 liters when the pressure is 1 atmosphere and the temperature is 273 Kelvin.
__
21. In chemistry, there is a law called the Ideal Gas Law that says: The volume of a
gas varies directly as the temperature (T) and the number of moles (n), and inversely as the pressure (P).
In the Ideal Gas Law, the letter r is used as the constant (instead of k). Find the value of r if the volume of
1 mole of a gas is 22.4 liters when the pressure is 1 atmosphere and the temperature is 273 Kelvin.

Solution
4.1(331 votes)

Answer

R \approx 0.0821\ \text{L·atm·mol}^{-1}\text{·K}^{-1} Explanation 1. Write the Ideal Gas Law formula The law is PV = nRT. 2. Substitute given values P = 1\ \text{atm}, V = 22.4\ \text{L}, n = 1\ \text{mol}, T = 273\ \text{K}. 3. Solve for R R = \frac{PV}{nT} = \frac{(1)(22.4)}{(1)(273)} = \frac{22.4}{273}. 4. Calculate R \approx 0.0821\ \text{L·atm·mol}^{-1}\text{·K}^{-1}.

Explanation

1. Write the Ideal Gas Law formula<br /> The law is $PV = nRT$.<br /><br />2. Substitute given values<br /> $P = 1\ \text{atm}$, $V = 22.4\ \text{L}$, $n = 1\ \text{mol}$, $T = 273\ \text{K}$.<br /><br />3. Solve for $R$<br /> $R = \frac{PV}{nT} = \frac{(1)(22.4)}{(1)(273)} = \frac{22.4}{273}$.<br /><br />4. Calculate<br /> $R \approx 0.0821\ \text{L·atm·mol}^{-1}\text{·K}^{-1}$.
Click to rate:

Similar Questions