PhysicsBowl 2018 Q15

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15) This question involves concepts using ideal gases and the ideal gas law.

Where P is pressure, V is volume, n is amount of substance(moles), R is the universal gas constance, T is temperature, N is the number of molecules, and k[B] is Boltzmann's constant

The question provides conditions of the gas and expects us to find the number of molecules in the container. In the orange equation, N stands for the number of molecules. We can solve for N.

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

We have an equation for N, the number of molecules. We can plug in our given values, but before we do so, we should convert all values to the correct units. For this question, we should convert the temperature T to Kelvin and pressure to Pascals.

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