Question #158739

 gas occupies 900.0 mL at a temperature of 27.0 °C. What is the temperature if the same gas now has a volume of 1.75 L?


1
Expert's answer
2021-01-27T04:53:14-0500

By using Charles Law,

V1T1=V2T2\frac{V_1}{T_1}=\frac{V_2}{T_2}

Given in question, V1=900 ml,T1=27°C=(273+27)K=300KV_1=900\ ml,T_1=27\degree C=(273+27)K=300K

V2=1.75 L=1750 ml,T2=?V_2=1.75\ L=1750\ ml, T_2=?

Substituting these values,

900300=1750T2    T2=583.33 K\frac{900}{300}=\frac{1750}{T_2}\implies T_2=583.33\ K

Or, T2=(583.33273)°C=310.33°CT_2=(583.33-273)\degree C=310.33\degree C


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