Question

A sample of nitrogen (N2) has a volume of 41.0 L at a pressure of 770. mmHg . What is the final volume, in liters, of the gas at each of the following pressures, if there is no change in temperature and amount of gas?

Part A

711 mmHg

Express your answer using three significant figures.

Part B

3.0 atm

Express your answer using two significant figures.

Part C

0.390 atm

Express your answer using three significant figures.

Part D

840 torr

Express your answer using two significant figures.

Answer 1

A)

Given:

Vi = 41.0 L

Pi = 770 mmHg

Pf = 711 mmHg

use:

Pi*Vi = Pf*Vf

770.0 mmHg * 41.0 L = 711.0 mmHg * Vf

Vf = 44.4023 L

Answer: 44.4 L

B)

Given:

Vi = 41.0 L

Pi = 770.0 mm Hg

= (770.0/760) atm

= 1.0132 atm

Pf = 3.0 atm

use:

Pi*Vi = Pf*Vf

1.0132 atm * 41.0 L = 3.0 atm * Vf

Vf = 13.8465 L

Answer: 14 L

C)

Given:

Vi = 41.0 L

Pi = 770.0 mm Hg

= (770.0/760) atm

= 1.0132 atm

Pf = 0.39 atm

use:

Pi*Vi = Pf*Vf

1.0132 atm * 41.0 L = 0.39 atm * Vf

Vf = 107 L

Answer: 107 L

D)

Given:

Vi = 41.0 L

Pi = 770.0 mm Hg

= (770.0/760) atm

= 1.0132 atm

Pf = 840.0 torr

= (840.0/760) atm

= 1.1053 atm

use:

Pi*Vi = Pf*Vf

1.0132 atm * 41.0 L = 1.1053 atm * Vf

Vf = 37.5833 L

Answer: 38 L