Ideal Gas Law Problems 1) If a 17.5 L balloon full of helium at 1.20 atm is put in a vacuum jar and the pressure is decreased to 0.800 atm, how big is the balloon now?
=
nothing is said about temperature changing, so assume it is constant
= solve for V2 → = =
(. )(. ) (. )
= 26.25 → .
2) If a balloon 15.0 L sample of argon gas under 765 mmHg of pressure suddenly shrinks to 8.15 L, what pressure is it under now?
=
nothing is said about temperature changing, so assume it is constant
= solve for P2 → = =
( !")(. ) (. )
= 1407.975 (()* → +,+- ../0
3) A sealed, 500 mL container of ethane gas at 2.5 atm is heated from 100°C to 150°C. What is the new pressure of the container?
=
=
nothing is said about the volume changing, so assume it is constant solve for P2 → =
Remember that temperatures are always in Kelvin =
( . )(1 2 3) (22 3)
= 2.835121 67( → . 8, 9:.
4) If a container of propane gas at 55.0 °C is compressed from 1.00 atm to 3.75 atm, how hot will the gas be?
=
=
nothing is said about the volume changing, so assume it is constant solve for T2 → ; =
Remember that temperatures are always in Kelvin ; =
(2. )(1 3) (. )
= 1605 < → + °>
5) A 2.50 L balloon is heated from 25°C to 45°C. How large will it become?
=
=
nothing is said about the pressure changing, so assume it is constant solve for V2 → =
Remember that temperatures are always in Kelvin =
( . )(2 3) ( ? 3)
= 2.667785 → . 8
6) If a 35.5 L sample of oxygen gas at 35°C is heated until the sample is 42.7 L in size, how hot is it now?
=
=
nothing is said about the pressure changing, so assume it is constant solve for T2 → ; =
Remember that temperatures are always in Kelvin ; =
(1 . )(2 3) (2. )
= 370.4676 < → @A. B°>
7) A flexible, 450 mL container of nitrogen gas at 756 mmHg and 25°C is heated and pressurized to 45°C and 835 mmHg. How large will the container be?
=
all variables are changing here, so nothing is constant
solve for V2 → =
Remember that temperatures are always in Kelvin =
( !")(1 )( ? 3) (2 !")(2 3)
= 381.8009 ( → 8- .
8) A 37.0L sample of air at 1.00 atm and 25°C is pressurized to 5.15 atm, and only allowed to increase in size to 41.5 L. What is the temperature of this gas now?
=
all variables are changing here, so nothing is constant
solve for T2 → ; =
Remember that temperatures are always in Kelvin ; =
(. )(1. )( ? 3) (. )(2. )
= 1721.353 < → +,,8°>
