At a certain temperature ,molecules of methane gas ch4 have an average velocity of 0.098m/s. what is the average velocity of carbon dioxide molecules at this same temperature?

At the same temperature all molecules have the same kinetic energy:
0.5 m(CH₄) * V₁² = 0.5 x m(CO₂) x V₂²
0.5 x 16 x (0.098)² = 0.5 x 44 x V₂²
V₂ = 0.059 m/s

Radon-222 or rn-222 has a half-life of 3.82 days. to determine the fraction of an original sample of rn-222 that remains unchanged after 7.646 days, we calculate the amount of rn-222 remaining after 7.646 days and divide it with the original amount. using 1 gram as a basis and using half-life calculation methods, we can determine that  0.249 or 0.25  grams of rn-222 will remain, and thus the fraction remaining is 0.25 or 1/4.

Answer is: value of q is 5·10⁻⁶m.chemical reaction: mg²⁺(aq) + co₃²⁻(aq) → mgco₃(s).c(mg²⁺) = 2.5·10⁻³ m; concentration of magnesium cations.c(co₃²⁻) = 2.00·10⁻³ m; concentration of carbonate anions.q = c(mg²⁺)  · c(co₃²⁻).q = 2.5·10⁻³ m  · 2.00·10⁻³ m.q = 5·10⁻⁶m.q = 0.000005 m.