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Physics-

General

Easy

Question

To double the volume of a given mass of an ideal gas at $27 ℃$ keeping the pressure constant, one must raise the temperature in degree centigrade to

$54^{o}$
$270^{o}$
$327^{o}$
$600^{o}$

The correct answer is: $327 to the power of o end exponent$

$V proportional to T rightwards double arrow fraction numerator V subscript 1 end subscript over denominator V subscript 2 end subscript end fraction equals fraction numerator T subscript 1 end subscript over denominator T subscript 2 end subscript end fraction rightwards double arrow fraction numerator V over denominator 2 V end fraction equals fraction numerator open parentheses 273 plus 27 close parentheses over denominator T subscript 2 end subscript end fraction equals fraction numerator 300 over denominator T subscript 2 end subscript end fraction$
$rightwards double arrow T subscript 2 end subscript equals 600 K equals 327 ℃$

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