Middle School

A gas sample occupies a volume of 140 mL at a temperature of 296 K and a pressure of 98.2 kPa. How many moles of gas are there?

Show your work.

Answer :

The number of moles of gas is 0.00559 mol.

Calculation of the number of moles of gas:

Since

V = Volume = 140mL = 0.14L

T = Temperature = 296K

P = Pressure 98.2kPa = 98200Pa

Also,

Recall: 101325Pa = 1atm

Now

98200Pa = 98200/101325 = 0.97atm

And,

R = 0.082atm.L/Kmol

So,

The number of mole (n) should be

PV = nRT

n = PV /RT

n = (0.97x0.14)/(0.082x296)

n = 0.00559 mol

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Answer:

0.00559 mol

Explanation:

The following data were obtained from the question:

V = 140mL = 0.14L

T = 296K

P = 98.2kPa = 98200Pa

Recall: 101325Pa = 1atm

98200Pa = 98200/101325 = 0.97atm

R = 0.082atm.L/Kmol

n =?

The number of mole (n) can be obtained as follows:

PV = nRT

n = PV /RT

n = (0.97x0.14)/(0.082x296)

n = 0.00559 mol

Therefore, the number of mole of the gas present is 0.00559 mol