Question #86d80

1 Answer
Mar 12, 2017

We know the Ideal Gas Equation is described in the form
#PV=nRT# .....(1)

We also know that number of moles of sample #n=("mass of sample "m)/("Molecular weight of gas "M)#
Also that Density #D=m/V#
Therefore, (1) becomes

#PV=m/MRT#
#=>(PM)/(RT)=m/V=D#
#=>D=(PM)/(RT)#

Since the temperature of sample of gas is being increased at constant pressure we get

#Dprop1/T# .......(2)

Proportion of its final density to its initial density from (2)
#D_("Final")/D_(Initial")=T_127/T_227#

Inserting values of temperature in Kelvin we get
#D_227/D_127=(273+127)/(273+227)=400/500=0.8#