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TS EAMCET · Chemistry · States of Matter

\(4 \mathrm{~g}\) of an ideal gas occupies \(5.6035 \mathrm{~L}\) of volume at \(546 \mathrm{~K}\) and 2 atmosphere pressure. What is its molecular weight?

  1. A \(4\)
  2. B \(16\)
  3. C \(32\)
  4. D \(64\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(16\)

Step-by-step Solution

Detailed explanation

\begin{aligned} & W=4 \mathrm{~g}, V=5.6035 \mathrm{~L}, T=546 \mathrm{~K}, P=2 \mathrm{~atm} \\ & \\ & \qquad \frac{M}{W}=\frac{R T}{P V} \quad\left(\because n=\frac{W}{M}\right) \\ & \frac{M}{4}=\frac{0.0821 \times 546}{2 \times 5.6035} \\ & \therefore \quad M=16\end{aligned}

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