Question

Each edge of a cubic container has a length of 0.24 m. Inside the sealed container, there are 0.55 mol of nitrogen gas at a temperature of 25.0°C. What is the volume, V, in liters, of the container?

Answer 1

The volume of the nitrogen gas inside the cubic container with edge length 0.24 m is 13.824 liters.

Step-by-step explanation:

The volume of the cubic container can be found by calculating the cube of the length of one edge, since a cube has all sides of equal length. Given that each edge of the container measures 0.24 meters, we calculate the volume (V) by raising 0.24 meters to the third power:

V = 0.24 m × 0.24 m × 0.24 m = 0.013824 m^3

To convert cubic meters to liters, we can use the conversion factor that 1 cubic meter is equivalent to 1000 liters. Therefore the volume in liters (V) is:

V = 0.013824 m^3 × 1000 L/m^3 = 13.824 L

The volume of the nitrogen gas within the container is thus 13.824 liters.