If we took 1.68 L of gas at 99.6 kPa and compressed to a pressure of 6,000,000 kPa, what would the volume of that gas be in microliters?

Microliter is one millionth of a liter.
Synthetic diamonds can be manufactured at pressures of 6,000,000 kPa

1 Answer
Reign · Ernest Z.
May 16, 2018

#color(red)(V_2="27.9 µL")#

Explanation:

Boyle's Law states that #P#and #V# are inversely proportional.

#P_1V_1=P_2V_2#

First, convert litres to microlitres.

#1.68cancelL xx ("1,000,000 μL")/(1cancelL)="1,680,000 μL"=1.68 xx10^6color(white)(l)"μL"#

#P_1=color(red)"99.6 kPa"#
#V_1="1.68 L" = color(red)(1.68 xx10^6color(white)(l)"μL")#
#P_2=color(red)(6.00 xx 10^6color(white)(l)kPa)#
#V_2=color(red)(?)#

Now, calculate the new volume.

#V_2=(P_1V_1)/(P_2)#
#V_2=color(red)((99.6cancel(kPa)(1.68 xx10^6color(white)(l)"μL"))/color(red)(6.00 xx10^6cancel(kPa)#
#V_2=color(red)("27.9 µL")#

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