1 Answer

Dvora · Answer 1 · 2020-03-21T16:56:45+0000

Hello!

The answer is:

The new pressure will be equal to 6 atm.

P_(2)=6atm

Since we know that the temperature is constant, we can use the Boyle's Law to solve the problem.

The Boyle's Law establishes that when the temperature is kept constant, the pressure and the volume will be proportional.

So, we have the equation:

P_(1)V_(1)=P_(2)V_(2)

We are given,

$P_(1)=2atm\\V_(1)=150mL\\V_(2)=50mL$

Substituting and isolating
P_(2) from the Boyle's Law, we have:

$P_(1)V_(1)=P_(2)V_(2)\\\\P_(2)=(P_(1)V_(1))/(V_(2))\\\\P_(2)=(2atm*150mL)/(50mL)=6atm$

Hence, the new pressure will be equal to 6 atm.

P_(2)=6atm

Have a nice day!