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Effect of Change of Temperature on State Change of Matter

A closed cont...

Question

A closed container contains one mole of nitrogen gas at temperature T and pressure P. Another identical vessel contains two moles of hydrogen gas at temperature 3T. Its pressure will be

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Solution

$W e k n o w P V = n R T I n c a s e o f g i v e n c o n d i t i o n s, \frac{P_{1}}{P_{2}} = \frac{n_{1} T_{1}}{n_{2} T_{2}} S o \frac{P}{P_{2}} = \frac{1 \times T}{2 \times 3 \times T} o r P_{2} = 6 P T h e r e f o r e t h e r e q u i r e d p r e s s u r e i s 6 P .$

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