Question

A balloon is floating around outside your window. The temperature outside is 17 ∘C , and the air pressure is 0.800 atm . Your neighbor, who released the balloon, tells you that he filled it with 3.60 moles of gas. What is the volume of gas inside this balloon? Express your answer to three significant figures and include the appropriate units.

Answer 1

Answer: 107.195 L

Explanation:

The Ideal Gas equation is:  

$P.V=n.R.T$  

Where:  

$P=0.8 atm$ is the pressure of air

$V$ is the volume of air inside

$n=3.6 moles$ the number of moles of air

$R=0.0821 \frac{Latm}{K mol}$ is the gas constant  

$T=17\°C+273.15=290.15 K$ is the absolute temperature of air in Kelvin

Finding $V$:

$V=\frac{n.R.T}{P}$  

$V=\frac{(3.6 moles)(0.0821 \frac{Latm}{K mol})(290.15 K)}{0.8 atm}$

$V=107.195 L$