Heat and Thermodynamics 4 Question 9
10. An ideal gas is enclosed in a cylinder at pressure of and temperature, . The mean time between two successive collisions is . If the pressure is doubled and temperature is increased to , the mean time between two successive collisions will be close to (2019 Main, 12 Jan II)
(a)
(b)
(c)
(d)
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Solution:
- Mean time elapsed between two successive, collisions is
where,
where,
So,
Here given,
and
Substituting there values in (i), we get