Question

Part A: A balloon is floating around outside your window. The temperature outside is 35 ∘C , and the air pressure is 0.700 atm . Your neighbor, who released the balloon, tells you that he filled it with 3.30 moles of gas. What is the volume of gas inside this balloon?

Part B: A 14.0 L gas cylinder is filled with 6.20 moles of gas. The tank is stored at 35 ∘C . What is the pressure in the tank?

Part C: A 200. L kiln is used for vitrifying ceramics. It is currently operating at 895 ∘C , and the pressure is 1.100 atm . How many moles of air molecules are within the confines of the kiln?

Part D: A 14.0 L gas cylinder has been filled with 7.60 moles of gas. You measure the pressure to be 4.20 atm . What is the temperature inside the tank?

Answer 1

PV = nRT R = 0.0821 L.atm/ mol/K

A) T = 35 + 273 K = 308 K

V = nRT/P

= 3.3 mol x 0.0821 L.atm/ mol/K x 308 K / 0.7 atm

= 119.2 L

Hence, volume of gas inside the balloon = 119.2 L

B) T = 35 + 273 K = 308 K

P = nRT/V

= 6.2 mol x 0.0821 L.atm/ mol/K x 308 K / 14 L atm

= 11.2 atm

C) T = 895 + 273 K = 1168 K

n = PV/RT

= 1.1 atm x 200 L / 0.0821 L.atm/ mol/K x 1168 K

= 2.3 mol

moles of air molecules are within the confines of the kiln = 2.3 mol

D) T = PV/nR

= 4.2 atm x 14 L / 7.6 mol x 0.0821 L.atm/ mol/K

= 94.23 K

= 94.23 - 273 oC

= -178.77 oC

Hence,

temperature inside the tank = -178.77 oC