Answer:
Temperature, T = 3.62 kelvin
Explanation:
It is given that,
Total number of gas molecules, [tex]N=6\times 10^{26}[/tex]
Her body is converting chemical energy into thermal energy at a rate of 125 W, P = 125 W
Time taken, t = 6 min = 360 s
Energy of a gas molecules is given by :
[tex]\Delta E =\dfrac{3}{2}NkT[/tex]
[tex]T=\dfrac{2E}{3Nk}[/tex], k is Boltzmann constant
[tex]T=\dfrac{2\times P\times t}{3Nk}[/tex]
[tex]T=\dfrac{2\times 125\times 360}{3\times 6\times 10^{26}\times 1.38\times 10^{-23}}[/tex]
T = 3.62 K
So, the temperature increases by 3.62 kelvin. Hence, this is the required solution.
