Question

1. A sample of gas occupies 5.27 L at a pressure of 2.63 atm. Determine the new pressure (in atm) of the sample when the volume changes to 4.56 L at constant temperature.

2. Determine the temperature (in °C) of a 4.77-mol sample of
CO_{2} gas at 6.11 atm in a container with a volume of 47.2
L.

3. Convert the pressure measurement of 2395 mmHg into units of atmospheres.

4. A latex balloon has a volume of 87.0 L at 708 K. To what volume (in L) will the balloon shrink if its temperature drops to 359 K?

5. Determine the pressure (in atm) of a 4.76-g sample of He gas at 812 K in a container with a volume of 41.5 L.

6. Determine the temperature (in K) of a 7.27-mol sample of Ar gas at 3.47 atm in a container with a volume of 20.5 L.

Answer #1

1)

Given:

Pi = 2.63 atm

Vi = 5.27 L

Vf = 4.56 L

use:

Pi*Vi = Pf*Vf

2.63 atm * 5.27 L = Pf * 4.56 L

Pf = 3.04 atm

Answer: 3.04 atm

2)

Given:

P = 6.11 atm

V = 47.2 L

n = 4.77 mol

use:

P * V = n*R*T

6.11 atm * 47.2 L = 4.77 mol* 0.08206 atm.L/mol.K * T

T = 737 K

= (737-273) oC

= 464 oC

Answer: 464 oC

3)

p = 2395 mmHg

= 2395/760 atm

= 3.15 atm

Answer: 3.15 atm

4)

Given:

Vi = 87.0 L

Ti = 708.0 K

Tf = 359.0 K

use:

Vi/Ti = Vf/Tf

87.0 L / 708.0 K = Vf / 359.0 K

Vf = 44.1 L

Answer: 44.1 L

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