A sample of 0.300 moles of nitrogen occupies 0.600 L. Under the same conditions, what amount of moles occupies 1.200 L?

1 Answer
Meave60
Apr 23, 2018

#"0.600 mol N"_2"# occupies #"1.200 L"#.

Explanation:

This is an example of Avogadro's law, which states that the volume and amount (moles) of a gas are directly proportional when pressure and temperature are held constant. This means that if the amount of gas is increased, the volume will also increase, and vice versa. The equation is:

#"V_1/n_1=V_2/n_2#,

where:

#V_1# is the original volume, #n_1# is the original amount in moles, #V_2# is the final volume, and #n_2# is the final amount.

Known

#V_1="0.600 L"#

#n_1="0.300 mol"#

#V_2="1.200 L"#

Unknown

#n_2#

Solution

Rearrange the equation to isolate #n_2#. Plug in the known values and solve.

#n_2=(V_2n_1)/V_1#

#n_2=(1.200color(red)cancel(color(black)("L"))xx0.300"mol")/(0.600color(red)cancel(color(black)("L")))="0.600 mol"#

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