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## Homework Statement

The rms speed of the molecules in 1.2 g of hydrogen gas is 1800 m/s.

What is the thermal energy of the gas?

## Homework Equations

m = Mass of 1 H molecule: 1.67 x 10^-27 kg

N = Total # of molecules = 7.19 x 10^23 molecules

c = rms speed

The equation provided by my tutor was:

E(therm) = N x (1/2)(m)(c)^2

## The Attempt at a Solution

Using the formula i was provided with above:

E(therm) = (7.19 x 10^23 molecules)(1/2)(1.67x10^-27 kg)(1800^2 m/s)

Which equates to 1,945 J.

This answer is wrong, and I am also confused because this number seems oddly close to the translational energy (e=1/2mv^2) which equates to 1.9 KJ earlier in the assignment)

Can someone tell me if I way out to left field and provide some hints?

Thanks