A sample of gas has a volume of 12 L and a pressure of 1.0 atm. If the pressure of gas is increased to 2.0 atm, what is the new volume of the gas? Temperature and moles are constant.

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i do not understand the formula.

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Answer 1 · 2018-02-19T15:21:16

The new volume of the gas will be #6 \ "L"#.

Since the temperature and the amount of moles are constant, we have to use Boyle's law here, which states that

#Pprop1/V#

or

#P_1V_1=P_2V_2#

Since we need to solve for the second volume, we can rearrange the equation into

#V_2=(P_1V_1)/P_2#

Plugging in the given values, we get

#V_2=(1cancel"atm"*12 \ "L")/(2cancel"atm")#

#<=>V_2=6 \ "L"#

So, the new volume of the gas will be #6# liters.