-->

States Of Matter

Question
CBSEENCH11005905

A sample of helium gas has a volume of 500 cm3 at 373K. Calculate the temperature at which the volume becomes 260 cm3. Assume that the pressure is kept constant.

Solution

From the given data,
straight V subscript 1 space space equals space 500 space cm cubed comma space space space straight T subscript 1 space equals space 373 space straight K
straight V subscript 2 space equals space 260 space cm cubed comma space space straight T subscript 2 space equals space ?
According to Charles' law
                     
    straight V subscript 1 over straight V subscript 2 space equals space straight T subscript 1 over straight T subscript 2
Putting the values in the above equation,
                             
   500 over 260 space equals space 373 over straight T subscript 2
therefore space space straight T subscript 2 space equals space fraction numerator 373 space cross times space 260 over denominator 500 end fraction space equals 193.96 space straight K