Problem $2$

$(1)$ What would the earth's temperature be if the greenhouse effect increases by $10\%$ from the present value of $149\mathrm{.}98\frac{W}{m^2}?(4$ Points$)$

$(2)$ Consider two different greenhouse gases A and $B$ having the same molecular weight. The lifetime of $A$ is $200$ years while the lifetime of $B$ is $100$ years. The values for the spectral overlap of A and $B$ with infrared radiation from Earth are $0\mathrm{.}15\frac{W}{m^2}$ and $0\mathrm{.}20\frac{W}{m^2},$ respectively. Please calculate the ratio of A$\text{'}$s global warming potential $($GWP$)$ to B$\text{'}$s GWP over a $60-$year time horizon. $(6$ Points$)$