TS EAMCET 14-Sep-2020 Shift 2 Solved Paper

Change in volume due to increase of temperature (∆T) is given by ∆V=αVV∆T . . . (i)
where, αV= coefficient of volume expansion
and V= initial volume of gas.
For an ideal gas, we know that
pV=nRT . . . (ii)
⇒‌‌p∆V=nR∆T⇒∆V=‌

nR∆T

p

. . . (iii)
From Eqs. (i) and (iii), we get
αV⋅V∆T=‌

nR∆T

p

⇒αV=‌

nR

pV

=‌

nR

nRT

[from Eq. (ii)]
⇒‌‌αV=‌

1

T