Density of a gas is found to be 5.46 g//dm_(3) at 27 ^(@)C at 2 bar pressure. What will be its density at STP?

Density of a gas is found to be 5.46 g//dm_(3) at 27 ^(@)C at 2 bar pr

1.	Density of a gas is found to be 5.46 g//dm_(3) at 27 ^(@)C at 2 bar pressure. What will be its density at STP?
Answer» <P> Solution :The molecular mass of a gas is given by `M=(dRT)/P` Since, molecular mass does not change with temperature or pressure, in two different SETS of conditions, we have `(d_1 RT_1)/P_1 =(d_2 RT_2)/P_2` (given condition) (at S.T.P.) or `(5.46 xx R xx 300)/2 = (d_2 xxRxx 273)/1` or `d_2 =(5.46xx300)/(2xx273)=3 g/dm^3`