Question

To compress nitrogen at 2.5 atm from 850 mL to 540 mL, what must the new pressure be of the temperature is kept constant?1)name the law first2)identify the given , write down the equation and show work

Answer 1

The new pressure is 3.94atm.

Step-by-step explanation:

1) The law of gases when the temperature is constant is called Boyle's law.

2)

• Identify the given

The given information is:

P1: 2.5 atm (initial pressure)

V1: 850mL (initial volume)

V2: 540 mL (final volume)

P2: this is what we have to calculate (final pressure).

• Equation, of Boyle's law

`P_1*V_1=P_2*V_2`

• Resolution

We have to replace the given values to calculate the final pressure (P2):

`\begin{gathered} P_1*V_1=P_2*V_2 \\ 2.5atm*850mL=P_2*540mL \\ 2,125atm*mL=P_2*540mL \\ (2,125atm*mL)/(540mL)=P_2 \\ 3.94atm=P_2 \end{gathered}`

So, the new pressure is 3.94atm.