The density of a gas is 1.964 text g text dm-3 at 273 K and 76 cm Hg. The gas is

Question

The density of a gas is 1.964 text g text dm-3 at 273 K and 76 cm Hg. The gas is (A)  CH4  (B)  C2H6  (C)  CO2  (D)  Xe

Tardigrade Admin · Accepted Answer

We know that PV=nRT Or PV=(w/m)RT Or m=(m/V)(RT/P) Or M=d(RT/P) d=1.964g/dm3=1.964× 10-3g/cc. P=76cm=1atm R=0.0812 text L text atm text K-1mol-1 =82.1 cc atm K-1mol-1 T=273K m=(1.964× 10-3× 82.1× 273/1)=44 The molecular weight of CO2 is 44. So, the gas is CO2 .

Q. The density of a gas is $1.964 g d m^{- 3}$ at 273 K and 76 cm Hg. The gas is

$C H_{4}$

$C_{2} H_{6}$

$C O_{2}$

$X e$

Q. The density of a gas is 1.964gdm−3 at 273 K and 76 cm Hg. The gas is

CH4​

C2​H6​

CO2​

Xe

We know that PV=nRT Or PV=mw​RT Or m=Vm​PRT​ Or M=dPRT​ d=1.964g/dm3=1.964×10−3g/cc. P=76cm=1atm R=0.0812LatmK−1mol−1 =82.1ccatmK−1mol−1 T=273K m=11.964×10−3×82.1×273​=44 The molecular weight of CO2​ is 44. So, the gas is CO2​ .

Q. The density of a gas is $1.964 g d m^{- 3}$ at 273 K and 76 cm Hg. The gas is

$C H_{4}$

$C_{2} H_{6}$

$C O_{2}$

$X e$