An ideal monoatomic gas is kept in a rigid container that expands negligibly when heated. The gas starts at a temperature of 17.0 deg C, and heat is added to increase its temperature. At what temperature will its root-mean-square speed (thermal speed) be 1.2 times its value at 17.0 deg C (20 % increase)

Respuesta :

Answer:

145 ° C

Explanation:

Using the expression

[tex]V_{rms} = \sqrt{\frac{3RT}{M} }[/tex]

where T = 17 ° C = (273 + 17) K

                            = 290 K

[tex]V_{rms} = 1.2[/tex]

So; At what temperature will its root-mean-square speed (thermal speed) be 1.2 times its value at 17.0 deg C?

What this implies is that:

[tex]\sqrt{\frac{3RT}{M} }= 1.2 \sqrt{\frac{3*R*290}{M} }[/tex]       where R & M are constant

T = 144.6  ° C

T = 145  ° C