How do you balance #C_6H_6 + H_2 -> C_6H_12#?

Answer 1

To balance the equation C6H6 + H2 -> C6H12, you need to put a coefficient of 3 in front of the H2, giving you the balanced equation:

C6H6 + 3H2 -> C6H12

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Answer 2

#C_6H_6 + 3H_2 -> C_6H_12#

Most of the time, solving equations involves more of an algorithm than a precise process; sometimes, you have to try a few different approaches until you find one that works.

First of all, it is useful to know the mass of the components on each side as well as the amount of carbon and hydrogen that are reacted with and formed afterwards.

On the left we have #6# carbon and #8# hydrogen, while on the right we have #6# carbon and #12# hydrogen. You want all the numbers for each element to be the same. Carbon is already there, six on both sides, it's just hydrogen that you have to sort out.
You need four more hydrogen to make #8# into #12#, preferably without changing the number of carbons, though sometimes this is unavoidable and you have to do a few extra steps to sort this new problem, or try something else.
Luckily you have some elemental hydrogen, #H_2#, which means you can change the number of hydrogen without affecting anything else. When balancing equations, elemental molecules are your friend.
To get #4# more hydrogen atoms, you need #2# more #H_2# molecules, which makes #3# in total, rendering the whole equation
#C_6H_6 + 3H_2 -> C_6H_12#
There is #6# carbon and #12# hydrogen on the left, and #6# carbon and #12# hydrogen on the right. The equation is balanced.
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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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