Final answer:
To calculate the volume of a gas at standard pressure given its volume at another pressure, we apply Boyle's Law. The formula V2 = (P1 * V1) / P2 is used, substituting the given values to find the new volume under standard pressure of 760 mm Hg.
Step-by-step explanation:
The student is asking about how the volume of a gas changes when the pressure changes, while keeping the temperature constant. To solve this problem, we can use Boyle's Law, which states that the pressure of a gas times its volume is constant at fixed temperature (P1V1 = P2V2). At standard pressure, which is 1 atm or 760 mm Hg, we can calculate the new volume using the initial conditions provided (1400 mm Hg and 350 L).
To find the new volume at standard pressure, we use the formula:
V2 = (P1 * V1) / P2
Where:
- P1 = 1400 mm Hg (initial pressure)
- V1 = 350 L (initial volume)
- P2 = 760 mm Hg (standard pressure)
Plugging in the values, we get:
V2 = (1400 mm Hg * 350 L) / 760 mm Hg
After performing the calculation, we find the volume at standard pressure.