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Q.

Initial temperature of an ideal gas is 75^oC. At what temperature, the sample of neon gas would be heated to double its pressure, if the initial volume of gas is reduced by 15% ?

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a

319^oC

b

$592^{\circ} C$

c

$128^{\circ} C$

d

$60^{\circ} C$

answer is A.

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Detailed Solution

$\begin{array}{l} \frac{P_{1} V_{1}}{T_{1}} = \frac{P_{2} V_{2}}{T_{2}} \\ \frac{P \times V}{348} = \frac{(2 P) \times (0 .85 V)}{T_{2}} \\ T_{2} = 592 K = 319^{\circ} C \end{array}$

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Initial temperature of an ideal gas is 75oC. At what temperature, the sample of neon gas would be heated to double its pressure, if the initial volume of gas is reduced by 15% ?