We are asked how many times would 1 mole of twinkies travel to pluto and back.
We are given that:
1 twinkie = 9.4 cm
Distance from sun to pluto = 5,900,000,000 km
We know that:
1 km = 100000 cm
1 mole = 6.02x10^23 atoms
therefore 1 twinkie = 9.4 cm = 9.4x10^-5 km
If 1 twinkle is 9.4x10^-5 km long and travels 5,900,000,000 km
You multiply the distance of twinkle by the distance from sun to pluto.
So:
9.4x10^-5 km x 6.02x10^23 x 5,900,000,000 = 3.339x10^29 times.
So 1 twinkle will travel 554600 times from the sun to pluto. Times this amount by 2 to get how many times it will travel to pluto and back.
3.339x10^29 x 2 = 6.677x10^29 times
Therefore 1 mole of twinkies will travel to pluto and back 6.677x10^29 times