[Four-digit Integer] The density of a gas (in g/litre) depends on pressure (in atm) at 300 K as: d = β States of Matter and Gaseous State Chemistry Question
Question
[Four-digit Integer] The density of a gas (in g/litre) depends on pressure (in atm) at 300 K as: d = 4P + 0.02 P^2 + 0.001 P^3 + ... The molar mass of gas (in g/mol) is (R = 0.08 l-atm/K-mol)
Answer: 0096
π‘ Solution & Explanation
Ideal limit: $\lim_{P\to0}(d/P)=M/RT$. From series $d=4P+0.02P^2+\ldots$: $\lim(d/P)=4$. $M=4RT=4\times0.08\times300=96$ g/mol. Answer: $\boxed{0096}$
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