PhysicsBowl 2016 Q19

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PhysicsBowl 2016

19) For this question, we have an ideal gas under the following conditions.

Where N is the number of particles, P is pressure, and T is temperature

We will use the Ideal Gas Law to solve this problem. Remember that there are two forms of the Ideal Gas Law. Although both could give us the right answer by converting units, we will choose the best-suited one based on our givens.

Where P is pressure, V is volume, N is number of particles, k[B] is Boltzmann's constant, T is temperature, n is number of moles, and R is the universal constant

We will pick the first equation since we already have N, the number of particles.

In order to solve this equation, we will need to convert some values. Our temperature should be in degrees Kelvin, and the pressure should be in Pascals.

Where T is temperature, and P is pressure

Finally, we can solve the Ideal Gas Law for volume. k[B] is Boltzmann's constant, provided on the PhysicsBowl constants sheet.

Where P is pressure, V is volume, N is number of particles, k[B] is Boltzmann's constant, and T is temperature