Answer to Question #86335 in General Chemistry for asla

Question #86335
A flexible container at an initial volume of 7.14 L contains 5.51 mol of gas. More gas is then added to the container until it reaches a final volume of 17.1 L. Assuming the pressure and temperature of the gas remain constant, calculate the number of moles of gas added to the container.
Expert's answer

Let's assume that x is the number of moles of added gas. Now we can make a proportion:

5.51 moles of gas occupies 7.14 L;

(5.51 + x) moles of gas occupies 17.1 L;

Now we can cross-multiply the terms of proportion to get the final equation:

5.51mol*17.1L=7.14L * (5.51 + x)mol;

To get the x value, let's divide both sides by 7.14L and subtract 5.51 from both sides:

@$\frac{5.51mol*17.1L}{7.14L} - 5.51mol=x mol;@$

x=7.68 moles;

Answer: there are 7.68 moles of gas added to the container.

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