What is the temperature of 4 moles of a gas occupying \(5 \mathrm{~L}\) volume at 3.32 bar? \(\left(R=0…

What is the temperature of 4 moles of a gas occupying \(5 \mathrm{~L}\) volume at 3.32 bar? \(\left(R=0.083\right.\) bar \(\mathrm{L} \mathrm{K}^{-1} \mathrm{~mol}^{-1}\) )
  1. \(5 \mathrm{~K}\)
  2. \(50 \mathrm{~K}\)
  3. \(500 \mathrm{~K}\)
  4. \(0.5 \mathrm{~K}\)

Solution

Given, \(n=4\) moles, \(\begin{gathered} \text {volume }=5 \mathrm{~L}, \text { pressure }=3.32 \mathrm{bar}, \\ R=0.083 \text { bar } \mathrm{L} \mathrm{K}^{-1} \mathrm{~mol}^{-1} \end{gathered}\) Calculate \((T)=\) ? Apply ideal gas equation, \(p V=n R T\) \(\Rightarrow T=\frac{p V}{n R}=\frac{3.32 \times 5}{4 \times 0.083} \Rightarrow 50 \mathrm{~K}\) Hence, the correct option is (b).

Asked in: AP EAMCET 2020 (21 Sep Shift 2)

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