the pressure of a car tire is 310kPq.Id the pressure reading was made at 25°C, the reading of the tire pressure at -30°C would be?
Assuming gas to be ideal,
P1=310KPa;T1=25°C=273+25K=298KP_1=310KPa;T_1=25\degree C=273+25K=298KP1=310KPa;T1=25°C=273+25K=298K
P2=?,T2=−30°C=−30+273K=243KP_2=?,T_2=-30\degree C=-30+273K=243KP2=?,T2=−30°C=−30+273K=243K
By using gay-Lussac's Law,P1T1=P2T2\frac{P_1}{T_1}=\frac{P_2}{T_2}T1P1=T2P2
⟹ 310298=P2243\implies \frac{310}{298}=\frac{P_2}{243}⟹298310=243P2
⟹ P2=252.78KPa\implies P_2=252.78KPa⟹P2=252.78KPa
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