Question

1. how is the molar volume of a gas defined at stp?

a. 22.4 liters per mole
b. 18.02 liters per mole
c. 6.022 × 10²³ liters per mole
d. 1 liter per mole

Explanation:

Step1: Recall the definition of molar volume at STP

The molar volume of a gas at Standard Temperature and Pressure (STP: \(T = 273\space K\), \(P= 1\space atm\)) is defined as the volume occupied by one mole of an ideal gas.

Step2: Use the ideal gas law \(PV=nRT\)

At STP, \(P = 1\space atm\), \(n = 1\space mol\), \(R=0.0821\space L\cdot atm/(mol\cdot K)\), \(T = 273\space K\). Substitute into \(V=\frac{nRT}{P}\).

$$V=\frac{1\space mol\times0.0821\space L\cdot atm/(mol\cdot K)\times273\space K}{1\space atm}=22.4\space L/mol$$

Answer:

a. 22.4 liters per mole