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

Respuesta :

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

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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