The mass of proton is 1.67 X 10^-27 kg. how many protons would make 1g.

This question can be solved by the very easy "Unitary Method"
Let x protons weigh 1g.
Mass of 1 Proton = 1.67 x 10^{-24 g}
Thus, Mass of x protons = 1 g
Therefore, x = (1g x 1proton)/1.67 x 10^{-24 g}
x = 0.59 x 10²⁴ protons, or x = 59 x 10²² protons
Thus, 59 x 10²² Protons will weigh 1 gram

wt. of 1 proton = 1.672 X10 ^ -24 g 
so 1.672 X10 ^ -24 g = 1 proton 
1 g = 1/1.672X10 ^ -24 = 0.598 X 10^ 24 protons = 5.98 x 10^ 23 protons.    

1.66x10^-24 g / amu 

so... 
1g x (1 amu / 1.66x10^-24g) x (1p / 1.007 amu) = 5.98x10^23 protons

No. Of proton =Total mass/ mass of each proton =10^-3kg/1.67*10^-27kg =5.99*10^23

5.99*10^23

Number of protons = total mass / mass of one proton = 10^ (-3) kg / 1.67 × 10^ (-27) kg = 5.99 × 10²³ protons