TS EAMCET 5-Aug-2021 Shift 1 Question Paper

Given,
T1,p1δλ1 be the initial temperature, pressure E mean free path i.e. T1=300K,p1=600 torr,
λ1=10−7m and T2,p2 are final temperature and pressure i.e. T2=400K,p2=200 torr,
λ2 be the final mean free path.
As we know that,
λ=‌

kT

√2πd2⋅p

where, d is diameter of molecule, p is pressure and k is Boltzmann constant, i.e. 1.38×10−23kg−m2s−1K−1
∴‌λ∝‌

T

p

⇒‌‌‌

λ1

λ2

=‌

T1

T2

×‌

p2

p1

⇒‌

10−7

λ2

=‌

300

400

×‌

200

600

⇒‌‌λ2‌=10−7×‌

4×6

3×2

=4×10−7m