Grade 11Physical Chemistry
Quesiton and options are attatched. Please give solution/explaination.
Quesiton and options are attatched. Please give solution/explaination.
1 Answer
Pooja
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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