A.) A balloon is floating around outside your window. The temperature outside is
ID: 1033946 • Letter: A
Question
A.) A balloon is floating around outside your window. The temperature outside is 19 ?C , and the air pressure is 0.700 atm . Your neighbor, who released the balloon, tells you that he filled it with 4.50 moles of gas. What is the volume of gas inside this balloon? Express your answer to three significant figures and include the appropriate units. B.) A 14.0 L gas cylinder is filled with 7.00 moles of gas. The tank is stored at 55 ?C . What is the pressure in the tank? Express your answer to three significant figures and include the appropriate units. C.) A 240 L kiln is used for vitrifying ceramics. It is currently operating at 1305 ?C , and the pressure is 0.9000 atm . How many moles of air molecules are within the confines of the kiln? Express your answer to three significant figures and include the appropriate units. D.) A 16.0 L gas cylinder has been filled with 4.40 moles of gas. You measure the pressure to be 4.60 atm . What is the temperature inside the tank? Express your answer to three significant figures and include the appropriate units.
Explanation / Answer
a)
Given:
P = 0.7 atm
n = 4.50 mol
T = 19.0 oC
= (19.0+273) K
= 292 K
use:
P * V = n*R*T
0.7 atm * V = 4.5 mol* 0.08206 atm.L/mol.K * 292 K
V = 154 L
Answer: 154 L
b)
Given:
V = 14.0 L
n = 7.00 mol
T = 55.0 oC
= (55.0+273) K
= 328 K
use:
P * V = n*R*T
P * 14 L = 7 mol* 0.08206 atm.L/mol.K * 328 K
P = 13.5 atm
Answer: 13.5 atm
c)
Given:
P = 0.9 atm
V = 240.0 L
T = 1305.0 oC
= (1305.0+273) K
= 1578 K
find number of moles using:
P * V = n*R*T
0.9 atm * 240 L = n * 0.08206 atm.L/mol.K * 1578 K
n = 1.67 mol
Answer: 1.67 mol
D)
Given:
P = 4.6 atm
V = 16.0 L
n = 4.40 mol
use:
P * V = n*R*T
4.6 atm * 16 L = 4.4 mol* 0.08206 atm.L/mol.K * T
T = 204 K
Answer: 204 K
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