Question

The volume occupied by 30.0 g of ethane at STP is
a. 2 dm3
b. 1 dm3
c. 22.4 dm3
d. 0.224 dm3

Answer 1

Given:-

mass of ethane, m=30 g

To Find:-

volume occupied

Explanation:-

At Standard Temperature and Pressure(STP), temperature(T)=$0^{0}$C=273 K and pressure, P=1 atm=101325 Pa

$\Rightarrow\text{Molar mass of ethane }(C_{2}H_{6}),M=(12\times2)+(6\times1)=30g/mol\\\\\Rightarrow\text{number of moles, }n=\dfrac{m}{M}=\dfrac{30}{30}=1\\\\\text{Using Ideal gas equation:-}\\\\PV=n\bar{R}T \text{ where,}\\\\\bar{R}=\text{universal gas constant}=8.314J/mol-K\\\\\Rightarrow101325\times V=1\times8.314\times273\Rightarrow V=0.0224m^{3}=22.4dm^{3}\\\\\text{Therefore, volume occupied by 30g of ethane at STP is 22.4 cubic decimeter.}$