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ICSE Class 9 Answered

A fixed mass of a gas has a volume of 750 cc at -23℃ and 800 mm pressure .Calculate the pressure for which its volume will be 720 cc .The temperature being -3℃ .                         Ans [900 mm]
Asked by aadrica.kanika | 27 Dec, 2018, 12:22: PM
answered-by-expert Expert Answer
Given:
 
P1 = 800 mm
 
V1 = 750 cc
 
T1 = (-23 °C )
 
    = 250 K
 
P2 =?
 
V2 = 720 cc
 
T2 = (-3 °C)
 
     = 270 K
 
By using the gas equation,
 
 
fraction numerator straight P subscript 1 straight V subscript 1 over denominator straight T subscript 1 end fraction equals fraction numerator begin display style straight P subscript 2 straight V subscript 2 end style over denominator begin display style straight T subscript 2 end style end fraction straight P subscript 2 space equals space fraction numerator begin display style straight P subscript 1 straight V subscript 1 cross times straight T subscript 2 end style over denominator begin display style straight T subscript 1 space cross times straight V subscript 2 end style end fraction space space space space space space equals fraction numerator 800 cross times 270 cross times 750 over denominator 250 cross times 720 end fraction straight P subscript 2 space equals space 900 space mm
 
 
The pressure of the gas is 900 mm Hg.
 
 
 
 
Answered by Varsha | 28 Dec, 2018, 11:48: AM

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