You have a flexible helium balloon filled with 0.100 mol of gas that is 2.10 L at a certain temperature and pressure. If you deflate the balloon at, constant temperature and pressure, so that it is now only 0.700 L, how many mol of gas are remaining in the balloon?

0.033 mole

Explanation:

The following data were obtained from the question:

Initial mole (n1) = 0.1 mol

Initial volume (V1) = 2.1 L

Final Volume (V2) = 0.7 L

Final mole (n2) =?

Since the temperature and pressure is constant, then the number of mole remaining in the balloon can be obtained by using the following formula as illustrated:

V1 /n1 = V2 /n2

2.1/0.1 = 0.7/n2

21 = 0.7/n2

Cross multiply

21 × n2 = 0.7

Divide both side by 21

n2 = 0.7/21

n2 = 0.033 mole

Thus, 0.033 mole of the gas is remaining in the balloon.

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