Question

Part A

A balloon is floating around outside your window. The temperature outside is -11 ∘C , and the air pressure is 0.700 atm . Your neighbor, who released the balloon, tells you that he filled it with 4.90 moles of gas. What is the volume of gas inside this balloon?

Part B

A 10.0 L gas cylinder is filled with 5.60 moles of gas. The tank is stored at 25 ∘C . What is the pressure in the tank?

Express your answer to three significant figures and include the appropriate units.

Part C

A 180. L kiln is used for vitrifying ceramics. It is currently operating at 865 ∘C , and the pressure is 0.9750 atm . How many moles of air molecules are within the confines of the kiln?

Part D

A 10.0 L gas cylinder has been filled with 5.80 moles of gas. You measure the pressure to be 4.40 atm . What is the temperature inside the tank?

Answer 1

A)

we have:

P = 0.7 atm

n = 4.90 mol

T = -11.0 oC

= (-11.0+273) K

= 262 K

we have below equation to be used:

P * V = n*R*T

0.7 atm * V = 4.9 mol* 0.08206 atm.L/mol.K * 262 K

V = 150. L

Answer: 150. L

B)

we have:

V = 10.0 L

n = 5.60 mol

T = 25.0 oC

= (25.0+273) K

= 298 K

we have below equation to be used:

P * V = n*R*T

P * 10 L = 5.6 mol* 0.08206 atm.L/mol.K * 298 K

P = 13.7 atm

Answer: 13.7 atm

C)

we have:

P = 0.975 atm

V = 180.0 L

T = 865.0 oC

= (865.0+273) K

= 1138 K

find number of moles using:

P * V = n*R*T

0.975 atm * 180 L = n * 0.08206 atm.L/mol.K * 1138 K

n = 1.88 mol

Answer: 1.88 mol

D)

we have:

P = 4.4 atm

V = 10.0 L

n = 5.80 mol

we have below equation to be used:

P * V = n*R*T

4.4 atm * 10 L = 5.8 mol* 0.08206 atm.L/mol.K * T

T = 92.4 K

Answer: 92.4 K