Respuesta :

From the Boyle's law of gases; the volume of a fixed mass is inversely proportional to the pressure at constant temperature;
Therefore; PV is a constant 
Thus; P1V1 =P2V2
         1.3 × 1900 ml = P2 × 158 ml
   P2 = (1.3 × 1900) ÷ 158 ml
         = 15.63 atm 

Answer:

The final pressure of the gas is 15.6 atm (≅ 16 atm)

Explanation:

Given:

Initial volume of the gas, V1 = 1.9 L

Initial pressure, P1 = 1.3 atm

Final volume of the gas, V2 = 158 ml = 0.158 L

To determine:

Final pressure, P2

Explanation:

Based on the ideal gas equation

[tex]PV = nRT[/tex]

where P = pressure, V = volume ; n = moles of gas

R = gas constant, T = temperature

At constant n and T, the above equation becomes:

PV = constant

This is the Boyle's law

Therefore:

[tex]P1V1 = P2V2\\\\P2 = \frac{P1V1}{V2} = \frac{1.3 atm*1.9 L}{0.158L} =15.6 atm[/tex]