Final answer:
The problem requires using the combined gas law to calculate the volume of a gas under different conditions. Given the initial conditions at STP and the final conditions of temperature and pressure, the final volume can be computed by rearranging the combined gas law equation to solve for the final volume.
Step-by-step explanation:
The question involves the application of the ideal gas law to find the volume of nitrogen gas (N2) at non-standard conditions given its initial volume at STP (standard temperature and pressure). To find the final volume, we employ the combined gas law which relates pressure, volume, and temperature:
V1 * P1 / T1 = V2 * P2 / T2
Where V1 is the initial volume, P1 is the initial pressure, T1 is the initial temperature (in Kelvin), V2 is the final volume, P2 is the final pressure, and T2 is the final temperature (also in Kelvin).
Using the provided values:
V1 = 746 mL (initial volume at STP)
P1 = 760 torr (pressure at STP)
T1 = 273 K (temperature at STP)
T2 = 155 °C + 273 = 428 K (final temperature)
P2 = 368 torr (final pressure)
Now we plug the values into the equation and solve for V2, the final volume, making sure to convert temperatures to Kelvin and keeping in mind that pressure must be in consistent units:
746 mL * 760 torr / 273 K = V2 * 368 torr / 428 K
V2 = (746 mL * 760 torr / 273 K) * (428 K / 368 torr)
V2 is the volume the sample of nitrogen would occupy at 155 °C and 368 torr.