# At an altitude for which ambient pressure is 0.700*atm, and a temperature of 270.15*K, a balloon contains 3.00*mol of gas... What is the volume of the balloon....?

Jun 18, 2017

There is no question here, but your neighbour, the balloonist, has filled a balloon with approx. $100 \cdot L$ volume.

#### Explanation:

Of course, he may have heated the contents of the balloon somehow, but we must assume $T = 270 \cdot K$, so..........

$V = \frac{n R T}{P} = \frac{3.00 \cdot m o l \times 0.0821 \cdot \frac{L \cdot a t m}{K \cdot m o l} \times 270.15 \cdot K}{0.700 \cdot a t m}$

$\cong 100 \cdot L .$

We have assumed the temperature, and know that the balloon expanded against a $0.700 \cdot a t m$ pressure. Because the balloon is apparently floating, what is the probable filling gas?