A container has a volume of $12 L$ $12 L$ and holds $14 m o l$ $14 mol$ of gas. If the container is compressed such that its new volume is $7 L$ $7 L$ , how many moles of gas must be released from the container to maintain a constant temperature and pressure?

Question

A container has a volume of $12 L$ $12 L$ and holds $14 m o l$ $14 mol$ of gas. If the container is compressed such that its new volume is $7 L$ $7 L$ , how many moles of gas must be released from the container to maintain a constant temperature and pressure?

1 Answer

Impact of this question

1571 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-12-27T01:10:40

8.17 moles of gas must be released from the container

Explanation:

Let's use Avogadro's law:

![http://study.com/academy/lesson/http://molar-volume-using-avogadros-law-to-calculate-the-quantity-or-volume-of-a-gas.html](https://useruploads.socratic.org/sldMI9UaT6WNG2UgorSg_avogadros-law-equation-chalkboard.jpg)

The number 1 represents the initial conditions and the number 2 represents the final conditions.

• Identify your known and unknown variables:

$Knowns:$ $color(magenta)("Knowns:"$
$v_{1}$ $v_1$ = 5 L
$v_{2}$ $v_2$ = 12 L
$n_{1}$ $n_1$ = 1 mol

$Unknowns:$ $color(green) ("Unknowns:"$
$n_{2}$ $n_2$

• Rearrange the equation to solve for the final number of moles:

$n_{2} = \frac{v_{2} \times n_{1}}{v_{1}}$ $n_2=(v_2xxn_1)/v_1$

• Plug in your given values to obtain the final number of moles:

$n_2=(7cancelLxx14mol)/(12\cancel"L")$ = $8.17 mol$

Science

Math

Humanities

... and beyond

A container has a volume of $12 L$ $12 L$ and holds $14 m o l$ $14 mol$ of gas. If the container is compressed such that its new volume is $7 L$ $7 L$ , how many moles of gas must be released from the container to maintain a constant temperature and pressure?

1 Answer

Explanation:

Related questions

Impact of this question

Science

Math

Humanities

... and beyond

A container has a volume of 12 L12L12 L and holds 14 mol14mol14 mol of gas. If the container is compressed such that its new volume is 7 L7L7 L, how many moles of gas must be released from the container to maintain a constant temperature and pressure?

1 Answer

Explanation:

Related questions

Impact of this question

A container has a volume of $12 L$ $12 L$ and holds $14 m o l$ $14 mol$ of gas. If the container is compressed such that its new volume is $7 L$ $7 L$ , how many moles of gas must be released from the container to maintain a constant temperature and pressure?