AP EAMCET · PHYSICS · Kinetic Theory of Gases
One mole of a gas at a pressure \(2 \mathrm{~Pa}\) and temperature \(27^{\circ} \mathrm{C}\) is heated till both pressure and volume are doubled. What is the temperature of the gas?
- A \(300 \mathrm{~K}\)
- B \(600 \mathrm{~K}\)
- C \(900 \mathrm{~K}\)
- D \(1200 \mathrm{~K}\)
Answer & Solution
Correct Answer
(D) \(1200 \mathrm{~K}\)
Step-by-step Solution
Detailed explanation
Given, Let volume, \(V_1=V\) By using ideal gas equation, \(\frac{p_1 V_1}{T_1}=\frac{p_2 V_2}{T_2}\) Substituting the values, we get \(\frac{2 V}{300}=\frac{4(2 V)}{T} \Rightarrow T=1200 \mathrm{~K}\)
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