Question

19. 2500 cm” of hydrogen is taken at S.T.P. The pressure of 74
this gas is further increased by two and a half times
(temperature remaining constant). What volume will
hydrogen occupy now ?
TAns. 5000/7 cm​

Answer 1

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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

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Given, V1 =2500 cm3

P1 =760mm [At S.T.P]

It is said that Hydro-gen is subje-cted to 2.5 times incr-ease in pres-sure.

Thus final pres-sure , P2 of the gas is = 2.5 x P1

= 2.5 x 760

P2 = 1900 mm

We have to find out V2 [final volu-me] which the gas oc-cu-pies

From Boy-le's Law, At const-ant temp-erature

P1V1 = P2V2

Thus , V2 = P1V1P2

V2 = 2500×7601900

V2 = 1000cm3