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The required temperature of the gas sample is -64.96 °C.
Ideal gas equation gives idea about the behavior of gas at different condition & represented as:
PV = nRT.
From the above equation it is clear that relation between temperature and pressure for this question is:
P₁/T₁ = P₂/T₂, where
P₁ & T₁ are the initial pressure and temperature.
P₂ & T₂ are the final pressure and temperature.
On putting values, we get
T₂ = (145)(-25) / (55.8) = -64.96 °C
Hence required temperature of the sample is -64.96 °C.
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