A sample of gas occupies 0.5L at 850tor what volume does it occupy at standard atomospheric pressure (tempreture is conistant)
To determine the new volume of the gas at standard atmospheric pressure, we need to use Boyle's Law, which states that the pressure and volume of a gas are inversely proportional when the temperature is constant.
Boyle's Law equation: P1V1 = P2V2
Where:
P1 = initial pressure = 850 torr
V1 = initial volume = 0.5 L
P2 = final pressure (standard atmospheric pressure) = 1 atm
V2 = final volume (to be determined)
We can rearrange the equation to solve for V2:
V2 = (P1 * V1) / P2
Let's substitute the given values into the equation:
V2 = (850 torr * 0.5 L) / 1 atm
Before calculating, we need to convert torr to atm:
1 atm = 760 torr
V2 = (850/760) * 0.5 L
V2 = 0.559 L
Therefore, the gas would occupy approximately 0.559 L at standard atmospheric pressure.