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Quesiton and options are attatched. Please give solution/explaination.

Quesiton and options are attatched. Please give solution/explaination.

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Grade:11

1 Answers

Pooja
127 Points
4 years ago
According to ideal gas equation 
P= mRT/MV
m/M=number of moles
Now, m/V=density (let's denote by 🅿️)
Now, P=🅿️×RT/M
🅿️ =PM /RT..............Eq(1)
Differentiating both sides
dP =RT/M×d🅿️
Therefore d🅿️/dP =M/RT..............Eq(2)
 
 
 
For the geven question
P=8.21atm
M=2gm/mole
 
Given equation is d(P🅿️)/dP= 10
Which on solving further gives
🅿️×dP/dP +P×d🅿️/dP =10
🅿️ ×1 + P ×M/RT = 10 
       P× M/RT +P×M/RT =10 ( from eq 1 and 2)
     2× PM/RT =10
Hence T = 2×PM/10R
                =(2× 8.21 ×2)÷ (10 × 0.0821 )
               T =40K       
Ans is (1)        
 
 
 
 

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