The following molecule/ion is paramagnetic based on its molecular orbital (MO) diagram.

How does the root mean square velocity (rms) of H2 compared to that of O2 at same temperature? [Given: Urms, H2Urms, O2 = MO2MH2{“version”:”1.1″,”math”:”Urms, H2Urms, O2 = MO2MH2″}; Molar masses (g/mol): H2 (2.02), O2 (32.00)]

Choose the best Lewis structure for NH4+ . (Given the group numbers of elements: N (Group 5A), Hydrogen (Group 1A).

1.00 mol of steam (18.0 g) warms from 100 °C to 125 °C. The amount of heat required  to warm the steam is (Given: q = mCs, steam ΔT;   Cs, steam = 2.01 J/g.oC). 

The formal charge for H in the NH3 molecule is calculated as shown below. What is the formal charge on N? [Given: H (Group 1A) and N (Group 5A)]

Which is the most stable resonance structure of HCN?

Which of the following statements is FALSE about the following molecule?  

If we pour liquid nitrogen (which is at 77 K) onto a balloon, it shrivels upas the air within it cools and occupies less volume at the same externalpressure. Which gas law explains this behavior?

The Maclaurin series for the arctangent function is:   \[ \tan^{-1}x = \displaystyle \sum_{n=0}^\infty \frac{(-1)^n}{2n+1}x^{2n+1} \]   Use this series to compute \( \displaystyle \lim_{x \to 0} \frac{\tan^{-1}(x^2)-x^2}{x^6+2x^7} \).   For Canvas, round your answer after calculating it to two decimal places if necessary. If the limit is infinite or DNE, type 9999.

 Find the sum of the series \( \displaystyle \sum_{n=0}^\infty \frac{2(-1)^n\pi^{2n+1}}{3^{2n}(2n)!}  \).   For Canvas, round your answer after calculating it to two decimal places if necessary. If the series diverges, type 9999.