Question

$5000$ molecules are present in $1$volume of hydrogen gas at STP. Calculate the volume of nitrogen gas which has $2.5\times {10}^8$ molecules at STP.

Answer 1

Step 1. Given information

• $5000$ molecules are present in $1$volume of hydrogen gas

Step 2. STP

• STP indicates standard temperature and pressure.
• Temperature$=0^{°}\text{C}$
• Pressure $=1\text{atm}$
• The volume of an ideal gas at STP is $22.4\text{L}$.

Step 3. Avogadro's Law

It states that the equal volume of any gas under the same pressure and temperature contains the same number of molecules.

Step 4. Calculation of volume of nitrogen gas

$5000$ molecules are present in $1$volume of hydrogen gas.

So, $5000$ molecules are present in $1$volume of nitrogen gas (Avogadro's Law)

Therefore, $2.5\times {10}^8$ molecules of nitrogen are present in $\frac{1\text{V}}{5000\text{molecules}}\times 2.5\times {10}^8{\text{molecules=5×10}}^4\text{V}$

Hence, the volume of nitrogen gas is $5\times {10}^4\text{V}$.