A)A balloon is floating around outside your window. The temperature outside is 3

Question

A)A balloon is floating around outside your window. The temperature outside is 3 C , and the air pressure is 0.700 atm . Your neighbor, who released the balloon, tells you that he filled it with 4.00 moles of gas. What is the volume of gas inside this balloon?

B)A 220. L kiln is used for vitrifying ceramics. It is currently operating at 1015 C , and the pressure is 1.050 atm . How many moles of air molecules are within the confines of the kiln?

C)A 18.0 L gas cylinder has been filled with 8.00 moles of gas. You measure the pressure to be 3.70 atm . What is the temperature inside the tank?

Explanation / Answer

Answer – A) Given, T = 3.0o C + 273 = 276 K , P = 0.700 atm , n = 4.00 moles

We know Ideal gas law

PV = nRT

So, V = nRT/P

           = 4.00 moles * 0.0821 L.atm.mol-1.K-1*276 K / 0.700 atm

           = 129.5 L

the volume of gas inside this balloon is 129.5 L

B) Given, T = 1015o C + 273 = 1288 K , P = 1.050 atm . Volume = 220.0 L

We know Ideal gas law

PV = nRT

So, n = RT/PV

           = 0.0821 L.atm.mol-1.K-1*1288 K / 1.050 atm * 220.0 L

           = 0.458 moles

0.458 moles of air molecules are within the confines of the kiln.

C) Given, Given, P = 3.70 atm . Volume = 18.0 L , moles = 8.00 moles

We know Ideal gas law

PV = nRT

So, T = PV / nR

           = 3.70 atm * 18.0 L / 0.0821 L.atm.mol-1.K-1*8.00 moles

           = 101.4 K

T in degree Celsius = 101.4 K – 273

                                = -171.6oC

the temperature inside the tank is 101.4 K or -171.6oC

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