Question

A 2500cm cube of hydrogen at S.T.P is subjected to 2.5 times increase in pressure. What volume will hydrogen now occupy?temperature remaining constant

Answer 1

Given, V1 =2500 cm3
                   P1 =760mm [At S.T.P]

  It is said that Hydrogen is subjected to 2.5 times increase in pressure.
  Thus final pressure , P2 of the gas is = 2.5 x P1
                                                          = 2.5 x 760
                                                     P2  = 1900 mm

We have to find out V2  [final volume] which the gas occupies
From Boyle's Law, At constant temperature

                                         P1V1 = P2V2

​                                       Thus , V2  =    P1V1P2
                                           V2  =   2500×7601900
                                        
                                           V2 = 1000cm3


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Answer 2

Answer:5000/7 cucm

Explanation:

V1=2500, P1=760mm

V2=?, P2=2 and 1/2 times increase in P1

P2 = 760 + ( (5/2) *760)

=760 + (5*380)

=760 + 1900

P2 =2660 mm

P1V1 = P2V2

V2 = P1V1 / P2

V2 = (2500 * 760) / 2600

= (2500 * 2) / 7

V2 = 5000/7 cucm