TS EAMCET · Chemistry · Thermodynamics (C)
At 400 K , an ideal gas is enclosed in a \(0.5 \mathrm{~m}^3\) vessel at a pressure of 203 kPa . What is the change in temperature required (in K ), if it occupies a volume of \(0.2 \mathrm{~m}^3\) under a pressure of 304 kPa ? (Nearest integer)
- A 240
- B 160
- C 120
- D 80
Answer & Solution
Correct Answer
(B) 160
Step-by-step Solution
Detailed explanation
Ideal gas equation \(\mathrm{PV}=\mathrm{nRT}\) \(\begin{aligned} & \frac{P_1 V_1}{T_1}=\frac{P_2 V_2}{T_2} \\ & T_2=\frac{P_2 V_2 \times T_1}{P_1 V_1}=\frac{0.2 \times 304 \times 10^3 \times 400}{0.5 \times 203 \times 10^3} \\ & =239.6 \end{aligned}\) Change in temperature…
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