Question

Many chemistry conferences have held a 50-Trillion Angstrom Run (two significant figures). How long is this run in kilometers and in miles? (1 Å = 1×10¹⁰m)50Trillion A˚:_____ₖm

a)5.0×10⁶km
b)5.0×10⁷km
c)5.0×10⁵km
d) 5.0×10⁸km

Answer 1

The length of the 50-Trillion Angstrom Run is 5 kilometers and approximately 3.107 miles. None of the given option is correct.

Step-by-step explanation:

To convert the length of the 50-Trillion Angstrom Run into kilometers, we can use the conversion factor: 1 Å = 1 x 10⁻¹⁰ m. First, convert the length from angstrom to meters: 50 Trillion Å x 1 x 10⁻¹⁰ m/Å = 5 x 10³ m. Then, convert meters to kilometers: 5 x 10³ m x (1 km/1000 m) = 5 x 10⁰ km = 5 km. Therefore, the length of the run is 5 kilometers.

To convert the length of the run into miles, we can use the conversion factor: 1 mile = 1.60934 kilometers. 5 km x (1 mile/1.60934 km) ≈ 3.107 miles (rounded to three decimal places). Therefore, the length of the run is approximately 3.107 miles.

Hence, all options are incorrect.