The volume of a given mass of a gas is 100ml at $100^{\circ}$ C. If pressure is kept constant at what temperature will the sample have the volume of 200ml?

50^OC

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473^OC

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200^OC

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400^OC

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Solution

The correct option is B
473^OC

$\frac{V_{1}}{T_{1}}$ = $\frac{V_{2}}{T_{2}}$

$V_{1}$ = 100 ml , $V_{2}$ = 200 ml

$T_{1}$ = 100 + 273 = 373 k , $T_{2}$ = ?

$\frac{100}{373}$ = $\frac{200}{T_{1}}$

$T_{2}$ = 746 K

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