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  • A balloon has 5.0 mole of helium at 7°C. Calculate (a) the number of atoms of helium in the balloon.

A balloon has 5.0 mole of helium at 7^{\circ}C. Calculate
(a) the number of atoms of helium in the balloon.
(b) the total internal energy of the system.

Answers (1)

Helium gas, n = 5 moles and T = 280 K

a) number of atoms of He = 5 \times 6.023 \times 10^{23} = 3.0115 \times 10^{24} atoms of He

b) the degree of freedom for a helium atom is 3 since it is monoatomic

so, average KE =\frac{3}{2}K_bT per molecule

average KE = \frac{3}{2} \times 1.38 \times 10^{-23} \times 80 \times 3.0115 \times 10^{24}

hence total energy = 1.74 \times 10^{ 4 }J

Posted by

infoexpert24

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