Twenty-five milliliters of liquid nitrogen (density = 0.807 { g/mL}) is poured into a cylindrical container with a radius of 10.1{ cm} and a length of 18.3{ cm} . The container initially contains only air at a pressure of 760.0 {mmHg} (atmospheric pressure) and a temperature of 306{ K} .
If the liquid nitrogen completely vaporizes, what is the total force (in {lb}) on the interior of the container at 306{ K} ?