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The average kinetic energy of water molecules is greatest in which of these samples?(1) 10 g of water at 35°C(2) 10 g of water at 55°C(3) 100 g of water at 25°C(4) 100 g of water at 45°C

Sagot :

Answer : The correct option is, (2) 10 g of water at 55°C

Explanation :

Average kinetic energy of the gas particle is directly proportional to the temperature of the gas particle.

Formula used :

[tex]K.E=\frac{3}{2}\frac{RT}{N_A}[/tex]

where,

R = Gas constant

T = temperature

[tex]N_A[/tex] = Avogadro's number

From this we conclude that the kinetic energy is directly proportional to the temperature where 'R' and [tex]N_A[/tex] are constant. That means kinetic energy depends only on the temperature not on the mass.

(Higher the temperature, higher will be the kinetic energy)

Hence, the average kinetic energy of water molecules is greatest in 10 g of water at 55°C.

jayilych4real

The average kinetic energy of water molecules which is the greatest in the following samples is:

  • B. 10 g of water at 55°C

The average kinetic energy has to do with the proportionality of the gas particles and how they relate to the temperature of the gas particles

With this in mind, we would use the formula to find the answer.

Recall that the formula is K.E = [tex]3/2 RT/Na[/tex]

R= gas constant

T= temperature

Na= Avogadro's constant  

With  the fact that there is a direct proportionality with the temperature and kinetic energy, we would assume that the kinetic energy of water would be greatest in 10g of water at 55°C.

Therefore, the correct answer is option B

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