A gas has a volume of 6.0 liters at a pressure of 380 torr. If the pressure is increased to 760 torr, what will be its new volume?
To find the new volume of the gas when the pressure is increased, we can use Boyle's Law. Boyle's Law states that the pressure and volume of a gas are inversely proportional at a constant temperature.
The equation for Boyle's Law is:
P1V1 = P2V2
Where:
P1 = initial pressure (380 torr)
V1 = initial volume (6.0 liters)
P2 = final pressure (760 torr)
V2 = final volume (unknown)
We can rearrange the equation to solve for V2:
V2 = (P1V1) / P2
Now we can substitute the known values:
V2 = (380 torr * 6.0 liters) / 760 torr
V2 = 2.99 liters (rounded to two decimal places)
Therefore, when the pressure is increased to 760 torr, the new volume of the gas will be approximately 2.99 liters.
assuming there is no change in temperature,
PV=kT is constant, so
380*6.0 = 760V