Question

If a gas at 25.0°C occupies 2.5 liters at a pressure of 3.50 atm, what will

be its volume at a pressure of 1.75 atm?

Answer 1

The final pressure of the gas is 5 liters.

Step-by-step explanation:

Let suppose that gas experiments an isothermal process and is an ideal gas. Hence, volume is inversely proportional to pressure, that is:

`P_(1)\cdot V_(1) = P_(2)\cdot V_(2)` (1)

`P_(1), P_(2)` - Initial and final pressure, in atmospheres.

`V_(1), V_(2)` - Initial and final volume, in liters.

If we know that
`P_(1) = 3.50\,atm`,
`V_(1) = 2.5\,L` and
`P_(2) = 1.75\,atm`, then the final volume of the gas is:

`V_(2) = (P_(1))/(P_(2))\cdot V_(1)`

`V_(2) = 5\,L`

The final pressure of the gas is 5 liters.