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

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.

$P\propto \frac{1}{V}$     (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  = $\frac{v}{3}L$

$150\times v=P_2\times \frac{v}{3}$  

$P_2=450kPa$

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