According to the ideal gas law, PV = nRT, where P represents the pressure, V represents the volume, n represents the number of moles, R is the ideal gas constant, and T represents the temperature.
If we triple the volume of the gas while keeping the temperature constant, the new volume (V') will be three times the original volume (V), and the number of moles (n) and temperature (T) remain constant.
Using the ideal gas law, we can compare the initial and final states:
P * V = n * R * T (Initial state) P' * V' = n * R * T (Final state)
Since n and T are constant, we can rewrite the equation as:
P * V = P' * V'
Dividing both sides of the equation by V', we get:
P = (P' * V') / V
Substituting V' = 3V (since the volume is tripled), the equation becomes:
P = (P' * 3V) / V
Simplifying further:
P = 3P'
Therefore, when the volume of the sample of neon (Ne) is tripled while the temperature is held constant, the pressure of the gas will decrease to one-third of its original value.