Question

How many moles of gas occupy a volume of 101.3L?

Answer 1

V= n Vm

V: gas volume , n : The number of moles of gas , Vm : molar volume

*The molar volume of any gas at standard conditions of temperature and pressure is 22.4 L/mol

V= 101.3 L , n=? , Vm = 22.4 L/mol

V=n Vm

101.3 = n × 22.4

n=101.3 / 22.4

n = 4.52 mol

I hope I helped you ^_^

Answer 2

`\boxed {\boxed {\sf 4.522 \ mol}}`

Step-by-step explanation:

We are asked to find how many moles of gas occupy a volume of 101.3 liters.

1 mole of any gas at STP (standard temperature and pressure) has a volume of 22.4 liters. We can use this information to make a proportion.

`\frac {1 \ mol}{22.4 \ L}`

We are converting 101.3 liters to moles, so we multiply the proportion by that value.

`101.3 \ L *\frac {1 \ mol}{22.4 \ L}`

The units of liters (L) cancel.

`101.3 *\frac {1 \ mol}{22.4}`

`\frac {101.3}{22.4} \ mol`

Divide.

`4.52232143 \ mol`

The original value of liters (101.3 L) has 4 significant figures, so our answer must have the same. For the number we calculated, that is the thousandths place. The 3 in the ten-thousandths place to the right tells us to leave the 2 in the thousandths place.

`4.522 \ mol`

101.3 liters of gas is equal to approximately 4.522 moles of gas.