$The<mspace\; width="1em"></mspace>factor<mspace\; width="1em"></mspace>{\left(\frac{\partial Q}{\partial T}\right)}_P<mspace\; width="1em"></mspace>-<mspace\; width="1em"></mspace>{\left(\frac{\partial Q}{\partial T}\right)}_V<mspace\; width="1em"></mspace>is<mspace\; width="1em"></mspace>equal<mspace\; width="1em"></mspace>to:$

1. $\gamma$

2. R

3. $\frac{R}{M}$

4. $∆\mathrm{nRT}$

Two moles of an ideal gas is heated at a constant pressure of one atmosphere from 27$°$C to 127$°$C. If ${\mathrm{C}}_{\mathrm{v},<mspace\; width="1em"></mspace>\mathrm{m}}=20+{10}^{-2}<mspace\; width="1em"></mspace>\mathrm{T}<mspace\; width="1em"></mspace>{\mathrm{JK}}^{-1}<mspace\; width="1em"></mspace>{\mathrm{mol}}^{-1},<mspace\; width="1em"></mspace>$ then q and $△\mathrm{U}$ for the process are respectively:

1.  6362.8 J, 4700 J

2.  3037.2 J, 4700 J

3.  7062.8 J, 5400 J

4.  3181.4 J, 2350 J