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

Question

A balloon is floating around outside your window. The temperature outside is 3 C , and the air pressure is 0.800 atm . Your neighbor, who released the balloon, tells you that he filled it with 5.00 moles of gas. What is the volume of gas inside this balloon? Express your answer to three significant figures and include the appropriate units. A 12.0 L gas cylinder is filled with 6.80 moles of gas. The tank is stored at 21 C . What is the pressure in the tank? Express your answer to three significant figures and include the appropriate units. A 180. L kiln is used for vitrifying ceramics. It is currently operating at 1105 C , and the pressure is 1.000 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.

Explanation / Answer

.1)

temperature = 3 C + 273 = 276 K

pressure = 0.800 atm

moles = 5.00

PV = nRT

0.8 x V = 5.00 x 0.0821 x 276

V = 141.6 L

volume of gas = 142 L

2)

volume = 12.0 L

moles = 6.80

temperature = 21 C + 273 = 294 K .

PV = nRT

P x 12.0 = 6.8 x 0.0821 x 294

P = 13.7atm

pressure = 13.7 atm

3)

volume = 180. L

temperature T = 1105 C + 273 = 1378 K

pressure = 1.000 atm .

P V = n RT

1.0 x 180 = n x 0.0821x 1378

n = 1.59

moles of gas = 1.59

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