100 mL of a gas is stored over mercury in mercury manometer at ${27}^{0}C$ radius of inside column is r and that of outside is R and initially mercury level is equal in both column.

a) If R = r. Find the new temperature (in K) if due to change in temperature outside level of mercury is raised by 20 mm

${\mathrm{P}}_{\mathrm{atm}}=1\mathrm{atm}$

(i) Assume volume of gas remain constant by some experimental means $\Rightarrow$$T_1$

(ii) Volume does not remain constant $\left(\pi r^2=10{\mathrm{cm}}^2\right)$

$\Rightarrow$$T_2$

(b) If R = 2r and inside level falls by 80 mm 

$\Rightarrow$$T_3$

Give the answers by adding $T_1,T_2,T_3$ to the nearest integer