A sample of N₂ gas occupies 2.40 L at 20°C. If the gas is in a container that can contract or expand at constant pressure, at what temperature will the N₂ occupy 4.80 L? A)10°C B)40°C C)146°C D)313°C E)685°C

Question

Quizplus · Accepted Answer

We can use Charles's Law to solve this problem. According to Charles's Law, the volume of a gas is directly proportional to its temperature, at constant pressure. Therefore, we can write:
V1/T1 = V2/T2
where V1 and T1 are the initial volume and temperature, and V2 and T2 are the final volume and temperature. We can plug in the given values:
V1 = 2.40 L
T1 = 20°C + 273.15 = 293.15 K (we need to convert Celsius to Kelvin)
V2 = 4.80 L
We can solve for T2:
T2 = (V2/T2) × T1
T2 = (4.80/2.40) × 293.15
T2 = 586.3 K
Finally, we need to convert the temperature back to Celsius:
T2 = 586.3 - 273.15 = 313.2°C
Therefore, the answer is D) 313°C.

A Sample of N2 Gas Occupies 2

A Sample of N₂ Gas Occupies 2