To find the temperature of neon, we can assume that both gases follow the ideal gas law. The ideal gas law is given by the equation:
PV = nRT,
where P is the absolute pressure, V is the volume, n is the number of moles of gas, R is the ideal gas constant, and T is the temperature in Kelvin.
Since we are comparing two ideal gases with the same mass density and the same absolute pressure, we can write the equation for helium (He) and neon (Ne) as follows:
P_He * V_He = n_He * R * T_He,
P_Ne * V_Ne = n_Ne * R * T_Ne.
Since both gases have the same mass density, we can assume that the volume occupied by each gas is the same, i.e.,
V_He = V_Ne.
We are given that the temperature of helium (T_He) is 298 K. We can now solve for the temperature of neon (T_Ne). Dividing the two equations, we get:
(P_He * V_He) / (P_Ne * V_Ne) = (n_He * R * T_He) / (n_Ne * R * T_Ne).
Canceling out the common terms, we have:
P_He / P_Ne = T_He / T_Ne.
Rearranging the equation, we can solve for T_Ne:
T_Ne = (T_He * P_Ne) / P_He.
Plug in the values for T_He, P_Ne, and P_He to find the temperature of neon.