SATHEE: Kinetic Theory - Result Question 1

Kinetic Theory - Result Question 1

1. A cylinder contains hydrogen gas at pressure of $249 k P a$ and temperature $27^{\circ} C$ .

[2020]

Its density is : $(R = 8.3 J m o l^{- 1} K^{- 1})$

(a) $0.2 k g / m^{3}$

(b) $0.1 k g / m^{3}$

(d) $0.5 k g / m^{3}$

Show Answer

Solution:

(a) Given : Pressure $P = 249 k P a$

$= 249 \times 10^{3} N / m^{2}$

Mass of hydrogen, $M = 2 g = 2 \times 10^{- 3} k g$

Temperature, $T = 27 + 273 = 300 K$

Using, ideal gas equation, $P V = n R T$

$P M = ρ R T \Rightarrow ρ = \frac{P M}{R T} (∵ ρ = \frac{M}{V})$

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

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Kinetic Theory - Result Question 1

1. A cylinder contains hydrogen gas at pressure of 249kPa and temperature 27∘C.

Solution:

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1. A cylinder contains hydrogen gas at pressure of $249 k P a$ and temperature $27^{\circ} C$ .