Molecular Mass, the Mole, and Avagadro's Number

Question: The artificial sweetener NutraSweet is a chemical called aspartame (C14 H18 N2 O5). A) What is its molecular mass (in atomic units)? B)What is the mass (in kg) of an aspartame molecule? What i have tried so far: C=12.011 H=1.00794 N=14.0067 O=15.9994 Molecular Mass=14(12.011)+18(1.00794)+2(14.0067)+5(15.9994) =16.154+18.1429+28.0134+79.997 =294.307 u *this part is correct The part I'm having trouble with is part B I tried this but it is incorrect: M of particle = Mass per mole/Avagadro's number =294.307/(6.022*10^23) =4.8872*10^-22

The Ideal Gas Law

Question: At the start of a trip, a driver adjusts the absolute pressure in her tires to be 2.82*10^5 Pa when the outdoor temperature is 286 K. At the end of the trip she measures the pressure to be 2.98*10^5 Pa. Ignoring the expansion of the tires, find the air temperature inside the tires at the end of the trip. This is what I've tried: P/T because the pressure is proportional to the temperature. Therefore, 282000/286=298000/x 282000x=85228000 x=0.001072 I am stuck at this point.

Find wave speed along vibrating string

A cello string .75m long has a 220-Hz fundamental frequency. Find the wave speed along the vibrating string. How can you produce a low- pitch by altering the length of the string, the thickness, and tension?

How to find the angle of incidence.

A person stands .038 cm in front of a wall that is covered floor to ceiling with a plane mirror. His eyes are .019 cm above the floor. He holds a flashlight between hi feet and manages to point it at the mirror. At what angle of incidence must the light strike the mirror so the light reaches his eyes?

Temperature and Kinetic Theory

Show that for a mixture of two gases at the same temperature, the ratio of the rms speeds of their molecules is equal to the inverse ratio of the square roots of their molecular masses.