The temperature of the gas will be 160.77 K. Faster the motion of particles more the temperature.
Temperature directs the hotness or coldness of a body. In clear terms, it is the method of finding the kinetic energy of particles within an entity.
Given data;
N = no of atoms=1.0 ×10²⁰
k = Boltzmann constant = 1.38 x 10⁻²³ J/K
From the kinetic theory of gas;
[tex]\rm U_{thermal}=\frac{3}{2} NKT \\\\\ \rm U_{thermal}=\frac{3}{2} \times 1.0 \times 10^{20} \times 1.38 \times 10^{-23} \times T \\\\\ T=160.77 \ K[/tex]
Hence, the temperature of the gas will be 160.77 K.
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