a flexible container at an initial volume of 5.12 l contains 6.51 mol of gas. more gas is then added to the container until it reaches a final volume of 11.1 l. assuming the pressure and temperature of the gas remain constant, calculate the number of moles of gas added to the container

Respuesta :

14.113 moles of gas added to the container assuming the pressure and temperature of the gas remains constant.

According to the Ideal gas law,

                   PV = n RT

where, P = pressure

          V = Volume (liters)

          n = number of moles of gas

           T = Absolute Temperature (Kelvin)

At constant temperature and volume the pressure of a gas is directly proportional to the number of moles of gas. then we can write,

             v1/n1 = v2/n2

V1 is the initial volume , V2 is the final volume , n1 is the initial mole of gas and n2 is the final mole of gas.

A container at an initial volume of 5.12 l contains 6.51 mole of gas and when more gas is added to the container until it reaches a final volume of 11.1L . so here, V2 is 11.1L , V1 is 5.12 L , n1 is 6.51 mole .

Putting all the values in the expression,

            n2 = v2n1/v1

                   = 11.1L . 6.51 mole / 5.12 L

                   =14.113 moles

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