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Two samples of Hydrogen and Oxygen of same mass possess same pressure and volume. The ratio of their temperatures is

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a

1:16

b

8:1

c

1 : 8

d

16:1

answer is B.

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Detailed Solution

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$\large m_1=m_2,\;P_1=P_2,\;V_1=V_2;\;\frac {T_1}{T_2}=?$
for Ideal gas equation, $\large PV=m.\frac {RT}{M}$
$\large \frac TM=constant$
$\large \frac {T_1}{M_1}=\frac {T_2}{M_2}\Rightarrow \frac {T_1}{T_1}=\frac {M_2}{M_2}\Rightarrow \frac {T_H}{T_0}=\frac {M_H}{M_0}$
$\large =\frac {2}{32}=1:16$

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