MHT CET · Chemistry · States of Matter
At \(0^{\circ} \mathrm{C}\) a gas occupies 22.4 liters. What is the temperature in Kelvin to reach the volume of 224 liters?
- A \(546 K\)
- B \(273K\)
- C \(2730K\)
- D \(5460K\)
Answer & Solution
Correct Answer
(C) \(2730K\)
Step-by-step Solution
Detailed explanation
According to Charles' law, \(\frac{\mathrm{V}_1}{\mathrm{~T}_1}=\frac{\mathrm{V}_2}{\mathrm{~T}_2} \quad\) (at constant \(\mathrm{n}\) and \(\mathrm{P}\) )
\(\therefore \quad \mathrm{T}_2=\frac{\mathrm{V}_2 \times \mathrm{T}_1}{\mathrm{~V}_1}=\frac{224 \times 273}{22.4}=2730 \mathrm{~K}\)
\(\therefore \quad \mathrm{T}_2=\frac{\mathrm{V}_2 \times \mathrm{T}_1}{\mathrm{~V}_1}=\frac{224 \times 273}{22.4}=2730 \mathrm{~K}\)
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