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 CO2 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.
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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