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A flexible container at an initial volume of 8.15 L contains 9.51 mol of gas. More gas is then added to the container until it reaches a final volume of 17.9 L. Assuming the pressure and temperature of the gas remain constant, calculate the number of moles of gas added to the container.

User YesItsMe
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Answer : The number of moles of gas added to the container will be, 20.89 mole

Explanation :

According to the Avogadro's law, the volume of gas is directly proportional to the number of moles of gas at same pressure and temperature. That means,


V\propto n

or,


(V_1)/(V_2)=(n_1)/(n_2)

where,


V_1 = initial volume of gas = 8.15 L


V_2 = final volume of gas = 17.9 L


n_1 = initial number of moles of gas = 9.51 mole


n_2 = final number of moles of gas = ?

Now we put all the given values in this formula, we get the final moles of gas.


(8.15L)/(17.9L)=(9.51mole)/(n_2)


n_2=20.89mole

Therefore, the number of moles of gas added to the container will be, 20.89 mole

User Hedi
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