Question

A container filled with a sample of an ideal gas at the pressure of 150 Kpa. The gas is compressed isothermally to one-third of its original volume. What is the new pressure of the gas a)-900 kpa b)- 300 kpa c)- 450 kpa d)- 600 kpa

Answer 1

Answer: c) 450 kPa

Step-by-step explanation:

Boyle's Law: This law states that pressure is inversely proportional to the volume of the gas at constant temperature and number of moles.

`P\propto (1)/(V)` (At constant temperature and number of moles)

`P_1V_1=P_2V_2`

where,

`P_1` = initial pressure of gas = 150 kPa

`P_2` = final pressure of gas = ?

`V_1` = initial volume of gas = v L

`V_2` = final volume of gas =
`(v)/(3)L`

`150* v=P_2* (v)/(3)`

`P_2=450kPa`

Therefore, the new pressure of the gas will be 450 kPa.