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  • A certain quantity of Real gas occupies a volume  at 100 atm and 500 K.<br

A certain quantity of Real gas occupies a volume .10 \mathrm{dm}^3 at 100 atm and 500 K.
when its compressibility factor io 1.05 . Its volume at 3200 atm and 300 K [retuen its compressibity factor 1.4 is----\times 10^{-4} \mathrm{dm}^3?

Option: 1

.3925 \ \mathrm{dm}^3


Option: 2

.1111 \mathrm{dm}^3


Option: 3

.5642 \ \mathrm{dm}^3


Option: 4

.6925 \mathrm{dm}^3


Answers (1)

best_answer

\mathrm{\text { compressibility factor }(Z)=\frac{P_V}{n R T}}

\mathrm{\begin{gathered} z_1=1.05, P_1=100 \mathrm{~atm}, v_1=.10 \mathrm{~L}, T_1=500 \mathrm{~K} \\ z_2=1.4, \quad P_2=200 \mathrm{~atm} \quad v_2=? \\ T_2=300 \mathrm{k} \end{gathered}}

\mathrm{\frac{z_1}{z_2}=\frac{P_1 V_1 T_1}{P_2 v_2 T_2}}

\mathrm{\begin{aligned} & \frac{1.05}{1.4}=\frac{100 \times .10 \times 500}{200 \times v_2 \times 300} \\ & \nu_2=\frac{100 \times .10 \times 500 \times 1.4}{200 \times 300 \times 1.05}=\frac{7000}{63000} \\ &=.1111 \mathrm{dm}^3 \end{aligned}}

Posted by

Sanket Gandhi

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