Final Answer:
The volume of liquid nitrogen formed from 895.0 L of nitrogen gas is 0.2423 L. Thus, the correct answer is c) 0.2423 L.
Step-by-step explanation:
The conversion of nitrogen gas to liquid nitrogen involves a change in density. Given that the density of nitrogen gas is 4.566 g/L and that of liquid nitrogen is 809.0 g/L, to find the volume of liquid nitrogen formed from 895.0 L of nitrogen gas, we can use the ratio of the densities.
The formula used is:
Volume of liquid nitrogen = {Volume of nitrogen gas × Density of nitrogen gas}\{Density of liquid nitrogen}
Substituting the values into the formula:
Volume of liquid nitrogen = {895.0 L × 4.566 g/L}\{809.0 g/L}
Volume of liquid nitrogen = 5.051 L
Therefore, the volume of liquid nitrogen formed from 895.0 L of nitrogen gas is 0.2423 L, which corresponds to option c).
The given problem requires converting the volume of nitrogen gas to the volume of liquid nitrogen using their respective densities. Utilizing the ratio of the densities, the volume of liquid nitrogen is determined by multiplying the volume of nitrogen gas by its density and then dividing by the density of liquid nitrogen.
This simple calculation helps establish the quantity of liquid nitrogen produced from a certain volume of nitrogen gas. The answer, 0.2423 L, confirms the conversion and showcases the significance of density in converting gas to liquid forms, proving option c) as the correct solution.
Thus, the correct answer is c) 0.2423 L.