A cylinder contains hydrogen gas at pressure of 249 kPa and temperature C. Its density is () [2020]

STUDY MATERIALS
COURSES
MORE
SUCCESS STORY
ADMISSION
STORE

Back

JEE ADVANCE

CLASS XI - XII
CRASH COURSE

CLASS XI - XII

CRASH COURSE

JEE MAIN

CLASS XI - XII
CRASH COURSE

CLASS XI - XII

CRASH COURSE

NEET

CLASS XI - XII
CRASH COURSE

CLASS XI - XII

CRASH COURSE

BITSAT

CLASS XI - XII

CLASS XI - XII

CBSE BOARD

CLASS IX

CLASS X

CLASS XI

CLASS XII

CLASS VI

CLASS VII

CLASS VIII

UP BOARD

CLASS IX
CLASS X
CLASS XI
CLASS XII

CLASS IX

CLASS X

CLASS XI

CLASS XII

CUET

CRASH COURSE

CRASH COURSE

Courses

CLASSROOM COURSES
ONLINE COURSES

ONLINE COURSES

More

Solution

Q.
A cylinder contains hydrogen gas at pressure of 249 kPa and temperature $27 °$ C. Its density is ( $R = 8.3$ $J$ ${mol}^{- 1}$ $K^{- 1}$ ) [2020]

1 $0.5$ $kg / m^{3}$

2 $0.2$ $kg / m^{3}$

3 $0.1$ $kg / m^{3}$

4 $0.02$ $kg / m^{3}$

Ans.
(2)

Here, $P = 249$ $kPa = 249 \times 10^{3}$ $Pa$

$T = 27 ° C = 27 + 273 = 300 K, M = 2 \times 10^{- 3} kg$

Equation of state, $P V = n R T$

or $P M = ρ R T$ $[∵ n = \frac{m}{M}]$

or $ρ = \frac{P M}{R T}$

Substituting the values,

$ρ = \frac{(249 \times 10^{3}) (2 \times 10^{- 3})}{8.3 \times 300} = 0.2$ ${kg/m}^{3}$

Want Us to Email you About Special Offers & Updates?