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ICSE Class 9 Answered

A moist gas is stored in a container of volume 870cc temperature 9°C and pressure of 659 mm Hg . Calculate its final volume at S.T.P. . Given vapour pressure at 9°C is 9 mm Hg
Asked by hirarou994 | 16 Sep, 2019, 09:04: AM
answered-by-expert Expert Answer

Given:
 
T1 = 9 °C
 
    = (9+273) = 282 K
 
V1 =870cc
 
P1 = 659 mm Hg
 
Vapour pressure = 9 mm Hg
 
So, Pressure of dry gas = 659 - 9
 
                                      = 650 mm Hg
 
Now,
 
P1 = 650 mm Hg
 
At STP,
 
T2 = 273 K
 
P1 =760 mmHg
 
V1 =?

By using gas equation,
 
fraction numerator straight P subscript 1 straight V subscript 1 over denominator straight T subscript 1 end fraction space equals fraction numerator straight P subscript 2 straight V subscript 2 over denominator straight T subscript 2 end fraction

fraction numerator 650 cross times 870 over denominator 282 end fraction space equals space fraction numerator 760 cross times straight V subscript 2 over denominator 273 end fraction


straight V subscript 2 space equals space fraction numerator 650 cross times 870 cross times 273 over denominator 282 cross times 760 end fraction

space space space space space equals space 720.33 space cc
 
 
The volume of gas at STP is 720.33 cc
Answered by Varsha | 16 Sep, 2019, 10:49: AM

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