Chemistry Practice Problems Chemistry Gas Laws Practice Problems Solution: A 160.0 -L helium tank contains pure helium at a p...

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# Solution: A 160.0 -L helium tank contains pure helium at a pressure of 1860 psi and a temperature of 298 K.How many 3.5-L helium balloons can be filled from the helium in the tank? (Assume an atmospheric pressure of 1.0 atm and a temperature of 298 K.)

###### Problem

A 160.0 -L helium tank contains pure helium at a pressure of 1860 psi and a temperature of 298 K.

How many 3.5-L helium balloons can be filled from the helium in the tank? (Assume an atmospheric pressure of 1.0 atm and a temperature of 298 K.)

###### Solution

At 298 K, pure helium gas has a volume of 160.0 L and a pressure of 1860 psi inside a tank

We’re being asked to determine how many 3.5-L helium balloons can be filled from pure helium in the tank assuming an atmospheric pressure of 1.0 atm and a temperature of 298 K

Recall that the ideal gas law is:

$\overline{){\mathbf{PV}}{\mathbf{=}}{\mathbf{nRT}}}$

The pressure and volume of a gas are related to the number of moles, gas constant and temperatureThe value nRT is constant

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