What pressure is required to compress 196.0 liters of air at 1.00 atmosphere into a cylinder whose volume is 26.0 liters?

if volume of the gas increases, its pressure decreases, and vice versa. mathematically, if the volume of the gas is  

V

1

and its pressure is  

P

1

. Let us suppose that its volume has been increased to  

V

2

, the as per the Boyle's law its pressure will decrease and let us assume the new pressure is  

P

2

.

P

1

V

1

=

P

2

V

2

P

1

= 1 atm

V

1

= 196 L

P

2

= ?

V

2

= 26 L substitute the values;

1 atm x 196 L =  

P

2

x 26 L

P

2

= 1 atm x 196 L / 26 L

P

2

= 196 atm L / 26 L = 7.53 atm

Explanation:

I hope this helps.