Answer: 15.83 m^3
Explanation:
This problem is about ideal gases.
Given that volumen, pressure and temperature, you must think about using the combined law of gases.
This is how you solve the problem.
1) Data:
V1 = 10m^3
p1 = 760 mmHg
T1 = 27°C = 27 + 273.15 K = 300.15K
p2 = 400 mmHg
T = - 23°C = - 23 + 273.15 K = 250.15 K
V2 = ?
2) Formula
pV/T = constant =>
p1 * V1 p2 * V2
---------- = -----------
T1 T2
3) Solution
=> V2 = p1 * V1 * T2 / (T1 * p2)
V2 = 760 mmHg * 10m^3 * 250.15 K / (300.15K * 400 mmHg)
V2 = 15.83 m^3.
