pressure gas temp volume

Question

Suppose that the pressure of 1.00 L of gas is 380. mm Hg when the temperature is 200. K. At what temperature is the volume 2.00 L and the pressure 0.750 atm?

Answer 1

 

Hey Lindsey,

 

 

 

 

P₁V₁ = P₂V₂

  T₁        T₂

 

 

 

(380 mmHg) (1.00 L) = (0.750 atm) (2.00 L)

           200K                          T₂

 

 

Since the unit of each pressure is different, you must convert:

 

 

If you want to convert from mmHg to atm,

 

 

1 atm = 760 mmHg

 

 

(380 mmHg)     (1 atm)          =       0.5 atm

                    (760 mmHg)

 

 

0.5 atm = 380 mmHg

 

 

Rewrite the equation with same units on both pressure:

 

 

(0.500 atm) (1.00 L) = (0.750 atm) (2.00 L)

         200K                            T₂

 

 

T₂ = 600 K

 

 

Or, you can change atm to mmHg:

 

 

1 atm = 760 mmHg

 

(760 mmHg) (0.750 atm) = 570 mmHg

     1 atm

 

 

0.750 atm = 570 mmHg

 

 

Rewrite the equation with same units on both pressure:

 

(380 mmHg) (1.00 L) = (570 mmHg) (2.00 L)

            200 K                             T₂

 

 

T₂ = 600 K

 

Good luck to you.