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Question

The volume of a gas is ______  time the initial volume when the pressure is reduced to half and the absolute temperature is doubled.


Solution

The volume of a gas is four times higher than its initial volume when the pressure is reduced to half and the absolute temperature is doubled. 
$$\Longrightarrow \cfrac { { P }_{ 1 }{ V }_{ 1 } }{ { T }_{ 1 } } =\cfrac { { P }_{ 2 }{ V }_{ 2 } }{ { T }_{ 2 } } \Longrightarrow \cfrac { { P }_{ 1 }{ V }_{ 1 } }{ { T }_{ 1 } } =\cfrac { { 0.5P }_{ 1 }\times { V }_{ 2 } }{ 2{ T }_{ 1 } } \Longrightarrow { V }_{ 2 }=4{ V }_{ 1 }$$

Physics

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