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A balloon is floating around outside your window. The temperature outside is 31 ∘C , and the air pressure is 0.700 atm . Your neighbor, who released the balloon, tells you that he filled it with 4.10 moles of gas. What is the volume of gas inside this balloon? Express to THREE signficant figures.

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Answer:

the volume of gas inside this balloon = 146.3 L

Explanation:

Given that:

The temperature T = 31 °C = ( 31 + 273.15 )K = 304.15 K

The air pressure P = 0.700 atm

number of moles of gas n = 4.10 moles

Gas constant = 0.0821 L atm/K/mol

The objective is to calculate the volume of the gas inside the ballon.

Using the Ideal gas equation

PV = nRT

V = nRT/P

V = (4.10×0.0821×304.15)/0.700

V = 102.3799/0.700

V = 146.257 L

V = 146.3 L

Thus, the volume of gas inside this balloon = 146.3 L

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