Question

Part A

A balloon is floating around outside your window. The temperature outside is 27 ∘C , and the air pressure is 0.800 atm . Your neighbor, who released the balloon, tells you that he filled it with 3.50 moles of gas. What is the volume of gas inside this balloon?

Part B

A 12.0 L gas cylinder is filled with 7.60 moles of gas. The tank is stored at 31 ∘C . What is the pressure in the tank?

Part C

A 140. L kiln is used for vitrifying ceramics. It is currently operating at 1095 ∘C , and the pressure is 1.000 atm . How many moles of air molecules are within the confines of the kiln?

Answer 1

Part A

A balloon is floating around outside your window. The temperature outside is 27 ∘C , and the air pressure is 0.800 atm . Your neighbor, who released the balloon, tells you that he filled it with 3.50 moles of gas. What is the volume of gas inside this balloon?

Apply Ideal Gas Law,

PV = nRT

where

P = absolute pressure

V = total volume of gas

n = moles of gas

T = absolute Temperature

R = ideal gas constant

PV = nRT

V = nrT/P

V = 3.5 * 0.082 * 300 / 0.80

V = 107.625 liters

Part B

A 12.0 L gas cylinder is filled with 7.60 moles of gas. The tank is stored at 31 ∘C . What is the pressure in the tank?

PV = nRT

P = nRT/V

P = 7.6*0.082*(31+273)/(12)

P = 15.787 atm

Part C

A 140. L kiln is used for vitrifying ceramics. It is currently operating at 1095 ∘C , and the pressure is 1.000 atm . How many moles of air molecules are within the confines of the kiln?

PV = nRT

n = PV/(RT)

n = (1*140)/(0.082*(1095+273))

n = 1.248 moles