Question

# If R = universal gas constant, the amount of heat needed to raise the temperature of 2 mole of an ideal monoatomic gas from 273 K to 373 K when no work is done

A
100 R
B
150 R
C
300 R
D
500 R

Solution

## The correct option is D 300 RFor an Ideal Gas, the internal energy is only a function of the gas temperature and is a measure of the mean translational kinetic energy of the gas atoms.From the first law of thermodyanics$$\Delta Q=\Delta U +\Delta W =0 \Rightarrow \Delta Q=\Delta U=\dfrac{n}{2}\ R\Delta T$$where n= degree of freedom for monoatomic gas i.e=3$$= \dfrac{3}{2}\times 2R\left ( 373-273 \right ) = 300 R.$$Physics

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