Question

The width of a standard plastic water bottle is 7cm. If the circumference of Mars is 21,300 Km, how many times would 1 mol of water bottles placed side to side encircle Mars?

A) 13,606 times
B) 13,857 times
C) 14,102 times
D) 14,365 times

Answer 1

1 mole of water bottles placed side to side would encircle Mars approximately 1.977 × 10^15 times.

Step-by-step explanation:

To find out how many times 1 mole of water bottles would encircle Mars, we need to calculate the length of 1 mole of water bottles and divide it by the circumference of Mars.

Given that the width of a standard plastic water bottle is 7cm, we can consider its length to be the circumference or the distance around the bottle.

The circumference of Mars is given as 21,300 Km. To convert it to centimeters, we multiply by 100,000 to get 2,130,000,000 cm.

Now, we need to find the length of 1 mole of water bottles. Since 1 mole is equal to Avogadro's number (6.022 × 10^23) of water bottles, we can calculate the length by multiplying the width by Avogadro's number:

Length = 7cm × 6.022 × 10^23 = 4.2154 × 10^24 cm

Now, dividing the length of 1 mole of water bottles by the circumference of Mars will give us the number of times 1 mole of water bottles can encircle Mars:

Number of times = (4.2154 × 10^24 cm) ÷ (2,130,000,000 cm) ≈ 1.977 × 10^15 times

Therefore, 1 mole of water bottles placed side to side would encircle Mars approximately 1.977 × 10^15 times.