Question

Q) Molar volume of CO2 is maximum at? a) NTP b) O'C and 2 atm c) 127'c and 1 atm d) 273'c and 2 atm

Answer 1

volume is directly proportional to temp and inversly proportional to pressure

Answer 2

Answer : The molar volume of $CO_2$ is maximum at, (c) $127^oC$ and 1 atm.

Solution :

Using ideal gas equation,

$PV=nRT$

or,

$V_m=\frac{RT}{P}$

where,

$V_m$ = molar volume

R = gas constant = 0.0821 Latm/moleK

P = pressure of the gas

T = temperature of the gas

(a) At NTP : temperature is 293 K and pressure is 1 atm.

$V_m=\frac{(0.0821Latm/moleK)\times (293K)}{1atm}=24.05L$

(b) $0^oC\text{ or }273K$ and 2 atm

$V_m=\frac{(0.0821Latm/moleK)\times (273K)}{2atm}=11.20L$

(c) $127^oC\text{ or }400K$ and 2 atm

$V_m=\frac{(0.0821Latm/moleK)\times (400K)}{1atm}=32.84L$

(d) $273^oC\text{ or }546K$ and 2 atm

$V_m=\frac{(0.0821Latm/moleK)\times (546K)}{2atm}=22.41L$

Therefore, the molar volume of $CO_2$ is maximum at, (c) $127^oC$ and 1 atm.