Question

Please help... I can't fail..

Answer 1

Answer: 1.624 L
----
Boyle's Law states volume of a gas at a constant temperature varies inversely with the pressure, or

`P_1V_1 = P_2V_2`

From the problem you're told that, intially,
`P_1 = 406\:kPa` and
`V_1 = 4 \: L`. Then, you're told that the pressure increases to
`P_2 = 1000 \: kPa`. Plug these values in and solve for the new volume,
`V_2`:

`P_1V_1 = P_2V_2\\ (406\:kPa)(4 \: L) = (1000 \: kPa)V_2\\ V_2 = 1.624 \: L`

Answer 2

4/406= x/1000
4*1000=406x
4000=406x
X=9.85L