What is the ratio of the number of molecules having speeds in the range of 2ump and 2ump+du to the number of molecules having speeds in the range of ump and ump+du?
(Answer should be closest integer to the ratio)
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Solution
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Let dN1 represents the number of molecules in the speed range ump to ump+du .
dN2 represents the number of molecules in the speed range 2ump to 2ump
What is the ratio of the number of molecules having speeds in the range of 2ump and 2ump+du to the number of molecules having speeds in the range of ump and ump+du?
(Answer should be closest integer to the ratio)
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Q2
Calculate the fraction of N2 molecules at 101.325 kpa and 300 K whose speeds are in the range of ump−0.005ump to ump+0.005ump:
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Q3
Assertion :The fraction of molecules having speed in the range u and (u+du) of a gas of molar mass M at temperature T is the same as that of gas of molar mass of 2M and temperature 2T. Reason: The fraction of molecules having their speed within the range u to (u+du)∝MT.
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Q4
State True or False.
The fraction of molecules having their speed between u and (u+du) decreases with increase in temperature.
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Q5
The following graph represents the Maxwell distribution curve for an ideal gas at two temperatures T1 and T2. Which of the following option(s) is/are true?