Question

Convert 3.00 * 10 ^ 26 molecules of carbon dioxide gas at STP to L.

Answer 1

Answer: 1. The coefficient is 1.12

2. The exponent is 4

3. There are 3 significant digits

4. The rightmost significant figure is 2.

Explanation:

Scientific notation is defined as the representation of expressing the numbers that are too big or too small and are represented in the decimal form with one digit before the decimal point times 10 raise to the power.

For example : 5000 is written as $5.0\times 10^3$

According to avogadro's law, 1 mole of every gas contains avogadro's number $6.023\times 10^{23}$ of particles and occupy 22.4 L at STP.

$6.023\times 10^{23}$ molecules of $CO_2$ occupy = 22.4 L at STP.

Thus $3.00\times 10^{26}$ molecules of $CO_2$ occupy = $\frac{22.4}{6.023\times 10^{23}}\times 3.00\times 10^{26}=11.2\times 10^3 L$ at STP.

Scientific notation = $1.12\times 10^4L$

The coefficient is 1.12

The exponent is 4

There are 3 significant digits

The rightmost significant figure is 2.