Question

A sample of nitrogen occupies a volume of 350 L at 45°C. What volume will it occupy at 105°C?

a) 392 L
b) 450 L
c) 506 L
d) 517 L

Answer 1

Using the combined gas law, the final pressure of the nitrogen gas is approximately 711.29 torr.

Step-by-step explanation:

To solve this problem, we can use the combined gas law formula: P1V1/T1 = P2V2/T2

Given:

• V1 = 350 L
• T1 = 45°C + 273.15 = 318.15 K
• T2 = 105°C + 273.15 = 378.15 K

Since the volume remains constant, we can simplify the formula to:

P1/T1 = P2/T2

Plugging in the values:

P1/318.15 = P2/378.15

P2 = (P1 × 378.15) / 318.15

Calculating P2:

P2 = (600 torr × 378.15 K) / 318.15 K

P2 ≈ 711.29 torr

Therefore, the final pressure of the nitrogen gas is approximately 711.29 torr.