# If R = universal gas constant, the amount of heat needed to raise the temperature of 2 mole of an ideal monoatomic gas from 273K to 373K when no work is done Option 1) 100R Option 2) 200R Option 3) 300R Option 4) 150R

As we learnt in

Work done in isochoric process -

W = 0

- wherein

$\because W= \int P\, dV$

since $dv= 0$

W = 0

and

Total internal energy -

$U= U_{K}+U_{P}$

- wherein

Change in internal energy

$\Delta U= n\frac{f}{2}R\Delta T$

(Always)

$f$ is degree of freedom

When no work is done.

$Q= \Delta U=nC_{v}\Delta T$

$= 2 \times (\frac{3R}{2})\times 100=300R$

Option 1)

100R

Incorrect

Option 2)

200R

Incorrect

Option 3)

300R

correct

Option 4)

150R

Incorrect

### Preparation Products

##### Knockout BITSAT 2021

It is an exhaustive preparation module made exclusively for cracking BITSAT..

₹ 4999/- ₹ 2999/-