Q8 / 125 · BITSAT 2010 · Chemistry

At a constant volume the specific heat of a gas is 0.075 and its molecular weight is $40 .$ The gas is:

  • Correct answer
    A
    Monoatomic
  • B
    Diatomic
  • C
    Triatomic
  • D
    None of these

Solution

$\begin{aligned} & q=\frac{c}{m} \\ & \Rightarrow C_{v}=q \times m \\ &=0.075 \times 40 \\ &=3.0 \mathrm{cal} \\ & C_{P}-C_{v}=R \\ & C_{P}=C_{V}+R \\ &=3+2=5 \\ & \frac{C_{P}}{C_{V}}=\frac{5}{3}=1.66 \end{aligned}$ Monoatomic gas

Hence, the correct answer is option: 'A'.

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