To what temperature must a neon gas sample be heated to double its pressure, if the initial volume of the gas at 75°C is decreased by 15%?

Solution

Initial conditions:

straight V subscript 1 straight P subscript 1 straight T subscript 1 space equals space 273 space plus space 75 straight K space equals space 384 Final space conditions colon space space space space space space space straight V subscript 2 space equals space straight V subscript 1 minus space 15 over 100 comma space space space straight V subscript 1 space equals space fraction numerator 85 space straight V subscript 1 over denominator 100 end fraction space space space space space space space space space straight P subscript 2 space equals space 2 straight P subscript 1 space space space space space space space space space straight T subscript 2 space equals space ?

Applying the gas equation

fraction numerator straight P subscript 1 straight V subscript 1 over denominator straight T subscript 1 end fraction space equals space fraction numerator straight P subscript 2 straight V subscript 2 over denominator straight T subscript 2 end fraction

Substituting the values, we have,

fraction numerator straight P subscript 1 space cross times space straight V subscript 1 over denominator 348 end fraction space equals space fraction numerator 2 straight P subscript 1 space cross times space 85 space straight V subscript 1 over denominator 100 space cross times space straight T subscript 2 end fraction therefore space space space space space space space straight T subscript 2 space equals space fraction numerator 2 space cross times space 85 space cross times space 348 space over denominator 100 end fraction space equals space 591.6 space straight K Temperature space in space degree straight C space equals space 591.6 space minus space 273 space equals space 318.6 space degree straight C

Some More Questions From States of Matter Chapter

For Daily Free Study Material Join wiredfaculty