# Problem: Twenty-five milliliters of liquid nitrogen (density = 0.807 g/mL) is poured into a cylindrical container with a radius of 11.6 cm and a length of 19.6 cm . The container initially contains only air at a pressure of 760.0 mmHg (atmospheric pressure) and a temperature of 298 K .If the liquid nitrogen completely vaporizes, what is the total force (in lb) on the interior of the container at 298 K ?

###### FREE Expert Solution

We are asked what is the total force (in lb) on the interior of the container at 298 K.

Calculate the mass of nitrogen:

Calculate the volume of container:

Given:

m = 20.175 g

MM = 28.02 g/mol

R = 0.08206 L-atm/mol-K

T = 298 K

V = 8.286 L

Calculate pressure nitrogen:

P = 2.12 atm

Calculate total pressure:

Calculate surface area of the container:

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###### Problem Details

Twenty-five milliliters of liquid nitrogen (density = 0.807 g/mL) is poured into a cylindrical container with a radius of 11.6 cm and a length of 19.6 cm . The container initially contains only air at a pressure of 760.0 mmHg (atmospheric pressure) and a temperature of 298 K .

If the liquid nitrogen completely vaporizes, what is the total force (in lb) on the interior of the container at 298 K ?

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What scientific concept do you need to know in order to solve this problem?

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