A sample of gas occupies 0.5L at 850tor what volume does it occupy at standard atomospheric pressure

1 answer

To determine the volume of the gas at standard atmospheric pressure, we can use Boyle's Law, which states that the pressure and volume of a gas are inversely proportional at constant temperature.

Boyle's Law equation: P₁V₁ = P₂V₂

where
P₁ = pressure 1 (initial pressure)
V₁ = volume 1 (initial volume)
P₂ = pressure 2 (final pressure, standard atmospheric pressure)
V₂ = volume 2 (final volume, what we need to find)

Given:
P₁ = 850 torr
V₁ = 0.5 L
P₂ = standard atmospheric pressure = 1 atm

Using the Boyle's Law equation:
850 torr * 0.5 L = 1 atm * V₂

425 torr L = V₂

Therefore, the gas would occupy a volume of 425 L at standard atmospheric pressure.