The velocity of an ideal gas 'A' (molar mass = 100) corresponding to the maxima of curve given below at given temperature 'T' is 200 m/sec. Find kinetic energy (in kJ) of molecules in 200 g of gas 'A' at temperature 'T'.

Engineering

Chemistry

Kinetic Theory of Gases KTG

Question

The velocity of an ideal gas 'A' (molar mass = 100) corresponding to the maxima of curve given below at given temperature 'T' is 200 m/sec.

Find kinetic energy (in kJ) of molecules in 200 g of gas 'A' at temperature 'T'.

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$U_{mps} = \sqrt{\frac{2 RT}{M}}$

$\frac{200 \times 0 .1}{2} = RT$

KE = $\frac{3}{2} nRT = \frac{3}{2} \times 2 \times \frac{200 \times 200 \times 0 .1}{2}$ = 6000 J

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