The mass of a sample of sodium bicarbonate is 2.1 kilograms. There are 1,000 grams in 1 kg, and 1 x 10^9 nano-grams in 1 g. What is the mass of this sample in ng?

21 Kg of sample = 2.1 x 10¹² ng

Explanation:

Data given:

mass of a sample of sodium bicarbonate = 2.1 kilograms

1000 = 1 kg

1 x 10⁹ nano-grams = 1 g

2.1 kilograms = how many nano grams

Solution:

first we will convert Kg to grams

As we know

1 Kg = 1000 g

2.1 kg = grams of sample

So,

by doing cross multiplication

grams of sample = 2.1 Kg x 1000g / 1 kg

grams of sample = 2100 g

So,

2.1 Kg of sample = 2100 g

Now we will convert 2100 grams to nano-grams

For this we know that

1 g = 1 x 10⁹ ng

2100 g = ng of sample

So,

by doing cross multiplication

ng of sample = 2100 g x 1 x 10⁹ ng / 1 g

ng of sample = 2.1 x 10¹² ng

2100 g of sample = 2.1 x 10¹² ng

So, in other words

21 Kg of sample = 2.1 x 10¹² ng