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Question

At what temperature in the Celsius scale, $$V (volume )$$ of a certain mass of gas at $${27}^{0}C$$ will doubled keeping the pressure constant? 


A
54oC
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B
327oC
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C
427oC
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D
527oC
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Solution

The correct option is B $${327}^{o}C$$
$$ \text{Given :  V$_{1}$ = V ;     T$_{1}$ =27 +273 =300 K ;    V$_{2}$ = 2V ;    T$_{2}$ = ?} \\ \text{From ideal gas equation, } \cfrac{V_{1}}{T_{1}} = \cfrac{V_{2}}{T_{2}} \Rightarrow \cfrac{V}{300} = \cfrac{2 V}{T_{2}} \Rightarrow T_{2} = 600 K \\ \Rightarrow T_{2} = 600 - 273 = 327^{\circ}C $$

Physics

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