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marysya [2.9K]
3 years ago
11

What is the value of the boltzmann constant of 1.7 moles of gas at 290 K that has an average kinetic energy of 1.4 MJ? A. 7x10^-

24 J/K
B. 1.4x10^-23 J/K
C. 6x10^-3 J/K
D. 7x10^-3 J/K
Physics
1 answer:
fredd [130]3 years ago
8 0

Answer:

The value of  of the Boltzmann constant is 3.14\times 10^{-23} J/K.

Explanation:

Generally the formula for average kinetic energy of a molecule :

K.E=\frac{3}{2}kT

where,

k = Boltzmann’s constant

T = temperature = 290 K

Given:

Number of molecules in 1.7 moles:

1.7\times 6.022\times 10^{23} molecules=1.0237\times 10^{24} molecules

Average kinetic energy of 1.7 moles = 1.4 MJ =1.4\times 10^6 J

Average kinetic energy of 1 molecule = \frac{1.4\times 10^6 J}{1.023\times 10^{24}} =1.3675\times 10^{-18} J

1.3675\times 10^{-18} J=\frac{3}{2}\times k\times (290K)

k=3.14\times 10^{-23} J/K

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