First slide

Thermometry

Question

The pressure P, volume V and temperature T of a gas in the jar A and the other gas in the jar B at pressure 2P, volume V/4 and temperature 2T, then the ratio of the number of molecules in the jar A and B will be

Moderate

A

1:1
B

1:2
C

2:1
D

4:1

Solution

$P V = μ R T = (\frac{N}{N_{A}}) R T$
Where N is the number of molecules and $N_{A}$ is the Avogadro number
$\frac{N_{1}}{N_{2}} = [\frac{P_{1}}{P_{2}}] . [\frac{V_{1}}{V_{2}}] . [\frac{T_{1}}{T_{2}}] = [\frac{P}{2 P}] . [\frac{V}{\frac{V}{4}}] . [\frac{2 T}{T}] = 4 : 1$

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