DongLeuhring
Answered

In which sample is the average kinetic energy of the particles greatest?
(1) 10. mL of HCl(aq) at 25°C
(2) 15 mL of HCl(aq) at 20.°C
(3) 10. mL of H2O(l) at 35°C
(4) 15 mL of H2O(l) at 30.°C



Answer :

lulu1991
The question asks about the average kinetic energy, so it is related only to temperature. Then the answer is (3) with the highest temperature.

Answer: The correct answer is option 3.

Explanation: Average kinetic energy is defined as the energy of motion of the particles of a system. It is a measure of Kelvin Temperature.

Mathematically,

[tex]K=\frac{3}{2}\frac{R}{N_A}T[/tex]

where,

K = kinetic energy of the molecules measured in joules.

R = Gas constant = [tex]8.314Jmol^{-1}K^{-1}[/tex]

[tex]N_A[/tex] = Avogadro's number = [tex]6.022\times 10^{23}atoms/mol[/tex]

T = Temperature in kelvins.

Kinetic energy is directly proportional to the temperature of the system.

[tex]\text{Kinetic energy}\propto \text{Temperature}[/tex]

More the temperature, more will be the kinetic energy of the molecules.

Hence, the correct answer is Option 3.

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