1.

The pressure of a gas at 100 degree Celsius is 2 atm. When the gas is heated by keeping the volume constant, at what temperature does the pressure raise to 3 atm?

Answer»

The temperature of GAS is 286.5°C

Explanation:

  • Given data

        \mathbf{ Initial \ Pressure(P_{1})=2 \ atm}

        \mathbf{ Final \ Pressure(P_{2})=3 \ atm}

        \mathbf{Initial \ Temperature (T_{1})=100^{\circ} \C=100+273 =373 \ K}

        \mathbf{Final \ Temperature (T_{2})=Unknown}

  • Since volume is constant. From formula of Gay-Lussac's LAW

       \mathbf{\frac{T_{2}}{T_{1}}=\frac{P_{2}}{P_{1}}}

       On PUTTING RESPECTIVE value in above equation, we GET

       \mathbf{\frac{T_{2}}{373}=\frac{3}{2}}

      On solving, we get

      \mathbf{T_{2}=559.5 \ K =(559.5-273)^{\circ} \ C=286.5^{\circ} \ C}



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