- #1

BrainMan

- 279

- 2

## Homework Statement

## Homework Equations

pV = nRT

## The Attempt at a Solution

I assumed that volume and temperature would stay constant. I assumed the volume wouldn't change because the volume of the tire doesn't change. This implies that

n

_{1}/p

_{1}= n

_{2}/p

_{2}

n

_{1}p

_{2}/ p

_{1}= n

_{2}

I found n

_{1}by using the ideal gas law

pV/RT = n

_{1}= 0.0592 moles of gas

Then I used the first equation to find n

_{2}= 0.0431 moles.

Subtracting n

_{1}- n

_{2}I found that 0.0161 moles of gas escaped from the tire.

Converting the amount of moles lost to grams I get

0.0161 x 28 g N

_{2}/ 1 mol N

_{2}= 0.451 g of N

_{2}gas

The correct answer should be 1.8 g