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Measurement of Volume

Two flasks A ...

Question

Two flasks A and B have equal volumes. A is maintained at 300 K and B at 600 K, while A contains $H_{2}$ gas, B has an equal mass of ${C O}_{2}$ gas. Find the ratio of total K.E. of gases in flask A to that of B.

A

1 : 2

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B

11 : 1

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C

33 : 2

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D

55 : 7

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Solution

The correct option is A 11 : 1
Total K.E. expression for A and B is given below:
$K . E ._{A} = \frac{3 n_{A} R T_{A}}{2}$
$K . E ._{B} = \frac{3 n_{B} R T_{B}}{2}$
Assume common mass = m
$n_{A} = m / 2$
$n_{B} = m / 44$
$\frac{K . E_{A}}{K . E_{B}} = \frac{n_{A} T_{A}}{n_{B} T_{B}} = \frac{m / 2 \times 300}{m / 44 \times 600} = 11 : 1$
Option B is correct

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