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

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.