Question

An inflatable toy starts with 1.05 moles of air and a volume of 5.17 liters. You shen fully inflated the volume is 8.00 liters. If the pressure and temperature inside the toy don't change, how many moles of air does the toy now contain?

A. 2.05 mol
B. 1.62 mol
C. 1.55 mol
D. 0.679 mol

Answer 1

Answer:- Choice B is correct, 1.62 mol.

Solution:- At constant temperature and pressure, volume is directly proportional to the number of moles of the gas.

The formula used for solving this type of problems is:

$\frac{V_1}{V_2}=\frac{n_1}{n_2}$

let's plug in the given values in the formula:

$\frac{5.17L}{8.00L}=\frac{1.05mol}{n_2}$

$n_2=\frac{8.00L(1.05mol)}{5.17L}$

$n_2=1.62mol$

So, the toy contains 1.62 moles of air when it's volume is 8.00 Liter. Choice B is correct.