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.
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Expert's answer
2019-03-14T04:00:39-0400

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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