Q.

The internal pressure of a gas maintained in a steel tank is 18 bar. It is desired to increase the pressure by 12%. Calculate the temperature at which the tank must be heated if its initial temperature is 25°C. Write the result in three significant figures.

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answer is 60.8.

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Detailed Solution

Since the volume of tank is constant, the gas obeys Gay-Lussac's law.P1=18 bar,  T1=25+273=298K;P2=18×12100+18=2.16+18=20.16  bar; T2=?P1T1=P2T2 ;T2=P2T1P1=20.16 bar ×298K18 bar =333.8Kor T2=333.8−273=60.8∘C ∵t∘C+273=T kwhich has three significant figures.
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